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Finding the Third Proportional to 906,946,323 and 1,360,183,288.50

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Solution

The third proportional to 906,946,323 and 1,360,183,288.50 is: 2,039,920,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,946,323 : 1,360,183,288.50 = 1,360,183,288.50 : x
  2. Step 2: Convert to fraction form
    906,946,323/1,360,183,288.50 = 1,360,183,288.50/x
  3. Step 3: Cross multiply
    906,946,323x = 1,360,183,288.50 × 1,360,183,288.50
  4. Step 4: Simplify right side
    906,946,323x = 1,850,098,578,314,674,176
  5. Step 5: Solve for x
    x = 1,850,098,578,314,674,176/906,946,323
  6. Step 6: Final answer
    x = 2,039,920,700.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.