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Finding the Third Proportional to 788,484 and 1,235,472

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Solution

The third proportional to 788,484 and 1,235,472 is: 1,935,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,484 : 1,235,472 = 1,235,472 : x
  2. Step 2: Convert to fraction form
    788,484/1,235,472 = 1,235,472/x
  3. Step 3: Cross multiply
    788,484x = 1,235,472 × 1,235,472
  4. Step 4: Simplify right side
    788,484x = 1,526,391,062,784
  5. Step 5: Solve for x
    x = 1,526,391,062,784/788,484
  6. Step 6: Final answer
    x = 1,935,855.47

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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.