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Finding the Third Proportional to 502,903,440 and 756,226,712

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Solution

The third proportional to 502,903,440 and 756,226,712 is: 1,137,154,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,903,440 : 756,226,712 = 756,226,712 : x
  2. Step 2: Convert to fraction form
    502,903,440/756,226,712 = 756,226,712/x
  3. Step 3: Cross multiply
    502,903,440x = 756,226,712 × 756,226,712
  4. Step 4: Simplify right side
    502,903,440x = 571,878,839,942,330,944
  5. Step 5: Solve for x
    x = 571,878,839,942,330,944/502,903,440
  6. Step 6: Final answer
    x = 1,137,154,360.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.