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Finding the Third Proportional to 1,063,702.13 and 1,596,642.42

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Solution

The third proportional to 1,063,702.13 and 1,596,642.42 is: 2,396,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,702.13 : 1,596,642.42 = 1,596,642.42 : x
  2. Step 2: Convert to fraction form
    1,063,702.13/1,596,642.42 = 1,596,642.42/x
  3. Step 3: Cross multiply
    1,063,702.13x = 1,596,642.42 × 1,596,642.42
  4. Step 4: Simplify right side
    1,063,702.13x = 2,549,267,004,620.45
  5. Step 5: Solve for x
    x = 2,549,267,004,620.45/1,063,702.13
  6. Step 6: Final answer
    x = 2,396,598.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.