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Finding the Third Proportional to 700,039.97 and 1,526,784.19

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Solution

The third proportional to 700,039.97 and 1,526,784.19 is: 3,329,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,039.97 : 1,526,784.19 = 1,526,784.19 : x
  2. Step 2: Convert to fraction form
    700,039.97/1,526,784.19 = 1,526,784.19/x
  3. Step 3: Cross multiply
    700,039.97x = 1,526,784.19 × 1,526,784.19
  4. Step 4: Simplify right side
    700,039.97x = 2,331,069,955,200.04
  5. Step 5: Solve for x
    x = 2,331,069,955,200.04/700,039.97
  6. Step 6: Final answer
    x = 3,329,909.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.