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Finding the Third Proportional to 872,134,637 and 1,340,533,465

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Solution

The third proportional to 872,134,637 and 1,340,533,465 is: 2,060,496,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,134,637 : 1,340,533,465 = 1,340,533,465 : x
  2. Step 2: Convert to fraction form
    872,134,637/1,340,533,465 = 1,340,533,465/x
  3. Step 3: Cross multiply
    872,134,637x = 1,340,533,465 × 1,340,533,465
  4. Step 4: Simplify right side
    872,134,637x = 1,797,029,970,784,906,240
  5. Step 5: Solve for x
    x = 1,797,029,970,784,906,240/872,134,637
  6. Step 6: Final answer
    x = 2,060,496,045.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.