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Finding the Third Proportional to 524,847,492 and 1,127,583,767.25

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Solution

The third proportional to 524,847,492 and 1,127,583,767.25 is: 2,422,504,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847,492 : 1,127,583,767.25 = 1,127,583,767.25 : x
  2. Step 2: Convert to fraction form
    524,847,492/1,127,583,767.25 = 1,127,583,767.25/x
  3. Step 3: Cross multiply
    524,847,492x = 1,127,583,767.25 × 1,127,583,767.25
  4. Step 4: Simplify right side
    524,847,492x = 1,271,445,152,165,702,144
  5. Step 5: Solve for x
    x = 1,271,445,152,165,702,144/524,847,492
  6. Step 6: Final answer
    x = 2,422,504,006.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.