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Finding the Third Proportional to 1,115,749.69 and 1,657,221.19

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Solution

The third proportional to 1,115,749.69 and 1,657,221.19 is: 2,461,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,749.69 : 1,657,221.19 = 1,657,221.19 : x
  2. Step 2: Convert to fraction form
    1,115,749.69/1,657,221.19 = 1,657,221.19/x
  3. Step 3: Cross multiply
    1,115,749.69x = 1,657,221.19 × 1,657,221.19
  4. Step 4: Simplify right side
    1,115,749.69x = 2,746,382,064,298.91
  5. Step 5: Solve for x
    x = 2,746,382,064,298.91/1,115,749.69
  6. Step 6: Final answer
    x = 2,461,467.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.