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Finding the Third Proportional to 597,221,937 and 927,276,506

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Solution

The third proportional to 597,221,937 and 927,276,506 is: 1,439,735,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,221,937 : 927,276,506 = 927,276,506 : x
  2. Step 2: Convert to fraction form
    597,221,937/927,276,506 = 927,276,506/x
  3. Step 3: Cross multiply
    597,221,937x = 927,276,506 × 927,276,506
  4. Step 4: Simplify right side
    597,221,937x = 859,841,718,579,568,000
  5. Step 5: Solve for x
    x = 859,841,718,579,568,000/597,221,937
  6. Step 6: Final answer
    x = 1,439,735,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.