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Finding the Third Proportional to 2,292,491 and 4,771,047

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Solution

The third proportional to 2,292,491 and 4,771,047 is: 9,929,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,491 : 4,771,047 = 4,771,047 : x
  2. Step 2: Convert to fraction form
    2,292,491/4,771,047 = 4,771,047/x
  3. Step 3: Cross multiply
    2,292,491x = 4,771,047 × 4,771,047
  4. Step 4: Simplify right side
    2,292,491x = 22,762,889,476,209
  5. Step 5: Solve for x
    x = 22,762,889,476,209/2,292,491
  6. Step 6: Final answer
    x = 9,929,325.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.