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Finding the Third Proportional to 782,872 and 1,701,776

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Solution

The third proportional to 782,872 and 1,701,776 is: 3,699,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,872 : 1,701,776 = 1,701,776 : x
  2. Step 2: Convert to fraction form
    782,872/1,701,776 = 1,701,776/x
  3. Step 3: Cross multiply
    782,872x = 1,701,776 × 1,701,776
  4. Step 4: Simplify right side
    782,872x = 2,896,041,554,176
  5. Step 5: Solve for x
    x = 2,896,041,554,176/782,872
  6. Step 6: Final answer
    x = 3,699,252.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.