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Finding the Third Proportional to 431,817,597 and 940,306,554

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Solution

The third proportional to 431,817,597 and 940,306,554 is: 2,047,569,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,817,597 : 940,306,554 = 940,306,554 : x
  2. Step 2: Convert to fraction form
    431,817,597/940,306,554 = 940,306,554/x
  3. Step 3: Cross multiply
    431,817,597x = 940,306,554 × 940,306,554
  4. Step 4: Simplify right side
    431,817,597x = 884,176,415,495,354,880
  5. Step 5: Solve for x
    x = 884,176,415,495,354,880/431,817,597
  6. Step 6: Final answer
    x = 2,047,569,208.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.