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Finding the Third Proportional to 1,648,484 and 3,514,709

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Solution

The third proportional to 1,648,484 and 3,514,709 is: 7,493,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,484 : 3,514,709 = 3,514,709 : x
  2. Step 2: Convert to fraction form
    1,648,484/3,514,709 = 3,514,709/x
  3. Step 3: Cross multiply
    1,648,484x = 3,514,709 × 3,514,709
  4. Step 4: Simplify right side
    1,648,484x = 12,353,179,354,681
  5. Step 5: Solve for x
    x = 12,353,179,354,681/1,648,484
  6. Step 6: Final answer
    x = 7,493,660.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.