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Finding the Third Proportional to 2,044,782 and 4,301,094.38

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Solution

The third proportional to 2,044,782 and 4,301,094.38 is: 9,047,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,782 : 4,301,094.38 = 4,301,094.38 : x
  2. Step 2: Convert to fraction form
    2,044,782/4,301,094.38 = 4,301,094.38/x
  3. Step 3: Cross multiply
    2,044,782x = 4,301,094.38 × 4,301,094.38
  4. Step 4: Simplify right side
    2,044,782x = 18,499,412,822,656.64
  5. Step 5: Solve for x
    x = 18,499,412,822,656.64/2,044,782
  6. Step 6: Final answer
    x = 9,047,132.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.