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Finding the Third Proportional to 1,799,788.50 and 2,531,281.50

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Solution

The third proportional to 1,799,788.50 and 2,531,281.50 is: 3,560,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799,788.50 : 2,531,281.50 = 2,531,281.50 : x
  2. Step 2: Convert to fraction form
    1,799,788.50/2,531,281.50 = 2,531,281.50/x
  3. Step 3: Cross multiply
    1,799,788.50x = 2,531,281.50 × 2,531,281.50
  4. Step 4: Simplify right side
    1,799,788.50x = 6,407,386,032,242.25
  5. Step 5: Solve for x
    x = 6,407,386,032,242.25/1,799,788.50
  6. Step 6: Final answer
    x = 3,560,077.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.