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Finding the Third Proportional to 849,649.50 and 1,367,421.75

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Solution

The third proportional to 849,649.50 and 1,367,421.75 is: 2,200,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,649.50 : 1,367,421.75 = 1,367,421.75 : x
  2. Step 2: Convert to fraction form
    849,649.50/1,367,421.75 = 1,367,421.75/x
  3. Step 3: Cross multiply
    849,649.50x = 1,367,421.75 × 1,367,421.75
  4. Step 4: Simplify right side
    849,649.50x = 1,869,842,242,373.06
  5. Step 5: Solve for x
    x = 1,869,842,242,373.06/849,649.50
  6. Step 6: Final answer
    x = 2,200,721.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.