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Finding the Third Proportional to 602,494,300 and 931,007,324

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Solution

The third proportional to 602,494,300 and 931,007,324 is: 1,438,643,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,494,300 : 931,007,324 = 931,007,324 : x
  2. Step 2: Convert to fraction form
    602,494,300/931,007,324 = 931,007,324/x
  3. Step 3: Cross multiply
    602,494,300x = 931,007,324 × 931,007,324
  4. Step 4: Simplify right side
    602,494,300x = 866,774,637,341,640,960
  5. Step 5: Solve for x
    x = 866,774,637,341,640,960/602,494,300
  6. Step 6: Final answer
    x = 1,438,643,713.88

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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.