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Finding the Third Proportional to 787,051 and 1,215,363

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Solution

The third proportional to 787,051 and 1,215,363 is: 1,876,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,051 : 1,215,363 = 1,215,363 : x
  2. Step 2: Convert to fraction form
    787,051/1,215,363 = 1,215,363/x
  3. Step 3: Cross multiply
    787,051x = 1,215,363 × 1,215,363
  4. Step 4: Simplify right side
    787,051x = 1,477,107,221,769
  5. Step 5: Solve for x
    x = 1,477,107,221,769/787,051
  6. Step 6: Final answer
    x = 1,876,761.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.