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Finding the Third Proportional to 441,985,476 and 693,344,784

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Solution

The third proportional to 441,985,476 and 693,344,784 is: 1,087,653,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,985,476 : 693,344,784 = 693,344,784 : x
  2. Step 2: Convert to fraction form
    441,985,476/693,344,784 = 693,344,784/x
  3. Step 3: Cross multiply
    441,985,476x = 693,344,784 × 693,344,784
  4. Step 4: Simplify right side
    441,985,476x = 480,726,989,500,006,656
  5. Step 5: Solve for x
    x = 480,726,989,500,006,656/441,985,476
  6. Step 6: Final answer
    x = 1,087,653,363.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.