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Finding the Third Proportional to 923,779.69 and 1,471,030.88

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Solution

The third proportional to 923,779.69 and 1,471,030.88 is: 2,342,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,779.69 : 1,471,030.88 = 1,471,030.88 : x
  2. Step 2: Convert to fraction form
    923,779.69/1,471,030.88 = 1,471,030.88/x
  3. Step 3: Cross multiply
    923,779.69x = 1,471,030.88 × 1,471,030.88
  4. Step 4: Simplify right side
    923,779.69x = 2,163,931,835,203.27
  5. Step 5: Solve for x
    x = 2,163,931,835,203.27/923,779.69
  6. Step 6: Final answer
    x = 2,342,476.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.