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Finding the Third Proportional to 602,494,316 and 931,007,352

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Solution

The third proportional to 602,494,316 and 931,007,352 is: 1,438,643,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,494,316 : 931,007,352 = 931,007,352 : x
  2. Step 2: Convert to fraction form
    602,494,316/931,007,352 = 931,007,352/x
  3. Step 3: Cross multiply
    602,494,316x = 931,007,352 × 931,007,352
  4. Step 4: Simplify right side
    602,494,316x = 866,774,689,478,051,840
  5. Step 5: Solve for x
    x = 866,774,689,478,051,840/602,494,316
  6. Step 6: Final answer
    x = 1,438,643,762.21

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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.