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Finding the Third Proportional to 406,987.03 and 868,011.19

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Solution

The third proportional to 406,987.03 and 868,011.19 is: 1,851,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,987.03 : 868,011.19 = 868,011.19 : x
  2. Step 2: Convert to fraction form
    406,987.03/868,011.19 = 868,011.19/x
  3. Step 3: Cross multiply
    406,987.03x = 868,011.19 × 868,011.19
  4. Step 4: Simplify right side
    406,987.03x = 753,443,421,625.16
  5. Step 5: Solve for x
    x = 753,443,421,625.16/406,987.03
  6. Step 6: Final answer
    x = 1,851,271.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.