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Finding the Third Proportional to 716,581.69 and 1,566,069.19

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Solution

The third proportional to 716,581.69 and 1,566,069.19 is: 3,422,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,581.69 : 1,566,069.19 = 1,566,069.19 : x
  2. Step 2: Convert to fraction form
    716,581.69/1,566,069.19 = 1,566,069.19/x
  3. Step 3: Cross multiply
    716,581.69x = 1,566,069.19 × 1,566,069.19
  4. Step 4: Simplify right side
    716,581.69x = 2,452,572,700,036.91
  5. Step 5: Solve for x
    x = 2,452,572,700,036.91/716,581.69
  6. Step 6: Final answer
    x = 3,422,600.30

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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.