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Finding the Third Proportional to 1,648,377 and 3,423,033

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Solution

The third proportional to 1,648,377 and 3,423,033 is: 7,108,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,377 : 3,423,033 = 3,423,033 : x
  2. Step 2: Convert to fraction form
    1,648,377/3,423,033 = 3,423,033/x
  3. Step 3: Cross multiply
    1,648,377x = 3,423,033 × 3,423,033
  4. Step 4: Simplify right side
    1,648,377x = 11,717,154,919,089
  5. Step 5: Solve for x
    x = 11,717,154,919,089/1,648,377
  6. Step 6: Final answer
    x = 7,108,297.99

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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.