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Finding the Third Proportional to 932,779.13 and 1,977,655.50

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Solution

The third proportional to 932,779.13 and 1,977,655.50 is: 4,192,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,779.13 : 1,977,655.50 = 1,977,655.50 : x
  2. Step 2: Convert to fraction form
    932,779.13/1,977,655.50 = 1,977,655.50/x
  3. Step 3: Cross multiply
    932,779.13x = 1,977,655.50 × 1,977,655.50
  4. Step 4: Simplify right side
    932,779.13x = 3,911,121,276,680.25
  5. Step 5: Solve for x
    x = 3,911,121,276,680.25/932,779.13
  6. Step 6: Final answer
    x = 4,192,976.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.