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Finding the Third Proportional to 776,730 and 1,049,412

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Solution

The third proportional to 776,730 and 1,049,412 is: 1,417,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,730 : 1,049,412 = 1,049,412 : x
  2. Step 2: Convert to fraction form
    776,730/1,049,412 = 1,049,412/x
  3. Step 3: Cross multiply
    776,730x = 1,049,412 × 1,049,412
  4. Step 4: Simplify right side
    776,730x = 1,101,265,545,744
  5. Step 5: Solve for x
    x = 1,101,265,545,744/776,730
  6. Step 6: Final answer
    x = 1,417,822.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.