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Finding the Third Proportional to 991,775.25 and 2,148,466.50

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Solution

The third proportional to 991,775.25 and 2,148,466.50 is: 4,654,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,775.25 : 2,148,466.50 = 2,148,466.50 : x
  2. Step 2: Convert to fraction form
    991,775.25/2,148,466.50 = 2,148,466.50/x
  3. Step 3: Cross multiply
    991,775.25x = 2,148,466.50 × 2,148,466.50
  4. Step 4: Simplify right side
    991,775.25x = 4,615,908,301,622.25
  5. Step 5: Solve for x
    x = 4,615,908,301,622.25/991,775.25
  6. Step 6: Final answer
    x = 4,654,187.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.