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Finding the Third Proportional to 2,372,430 and 4,913,089

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Solution

The third proportional to 2,372,430 and 4,913,089 is: 10,174,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,430 : 4,913,089 = 4,913,089 : x
  2. Step 2: Convert to fraction form
    2,372,430/4,913,089 = 4,913,089/x
  3. Step 3: Cross multiply
    2,372,430x = 4,913,089 × 4,913,089
  4. Step 4: Simplify right side
    2,372,430x = 24,138,443,521,921
  5. Step 5: Solve for x
    x = 24,138,443,521,921/2,372,430
  6. Step 6: Final answer
    x = 10,174,565.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.