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Finding the Third Proportional to 709,410.38 and 1,556,784.19

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Solution

The third proportional to 709,410.38 and 1,556,784.19 is: 3,416,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,410.38 : 1,556,784.19 = 1,556,784.19 : x
  2. Step 2: Convert to fraction form
    709,410.38/1,556,784.19 = 1,556,784.19/x
  3. Step 3: Cross multiply
    709,410.38x = 1,556,784.19 × 1,556,784.19
  4. Step 4: Simplify right side
    709,410.38x = 2,423,577,006,450.04
  5. Step 5: Solve for x
    x = 2,423,577,006,450.04/709,410.38
  6. Step 6: Final answer
    x = 3,416,325.86

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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.