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Finding the Third Proportional to 602,494,336 and 931,007,382

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Solution

The third proportional to 602,494,336 and 931,007,382 is: 1,438,643,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,494,336 : 931,007,382 = 931,007,382 : x
  2. Step 2: Convert to fraction form
    602,494,336/931,007,382 = 931,007,382/x
  3. Step 3: Cross multiply
    602,494,336x = 931,007,382 × 931,007,382
  4. Step 4: Simplify right side
    602,494,336x = 866,774,745,338,493,952
  5. Step 5: Solve for x
    x = 866,774,745,338,493,952/602,494,336
  6. Step 6: Final answer
    x = 1,438,643,807.17

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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.