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Finding the Third Proportional to 1,997,065.13 and 4,367,013.75

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Solution

The third proportional to 1,997,065.13 and 4,367,013.75 is: 9,549,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,065.13 : 4,367,013.75 = 4,367,013.75 : x
  2. Step 2: Convert to fraction form
    1,997,065.13/4,367,013.75 = 4,367,013.75/x
  3. Step 3: Cross multiply
    1,997,065.13x = 4,367,013.75 × 4,367,013.75
  4. Step 4: Simplify right side
    1,997,065.13x = 19,070,809,092,689.06
  5. Step 5: Solve for x
    x = 19,070,809,092,689.06/1,997,065.13
  6. Step 6: Final answer
    x = 9,549,417.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.