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Finding the Third Proportional to 779,534 and 1,708,026

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Solution

The third proportional to 779,534 and 1,708,026 is: 3,742,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,534 : 1,708,026 = 1,708,026 : x
  2. Step 2: Convert to fraction form
    779,534/1,708,026 = 1,708,026/x
  3. Step 3: Cross multiply
    779,534x = 1,708,026 × 1,708,026
  4. Step 4: Simplify right side
    779,534x = 2,917,352,816,676
  5. Step 5: Solve for x
    x = 2,917,352,816,676/779,534
  6. Step 6: Final answer
    x = 3,742,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.