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Finding the Third Proportional to 593,327,650 and 872,844,302

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Solution

The third proportional to 593,327,650 and 872,844,302 is: 1,284,041,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,327,650 : 872,844,302 = 872,844,302 : x
  2. Step 2: Convert to fraction form
    593,327,650/872,844,302 = 872,844,302/x
  3. Step 3: Cross multiply
    593,327,650x = 872,844,302 × 872,844,302
  4. Step 4: Simplify right side
    593,327,650x = 761,857,175,533,867,264
  5. Step 5: Solve for x
    x = 761,857,175,533,867,264/593,327,650
  6. Step 6: Final answer
    x = 1,284,041,246.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.