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Finding the Third Proportional to 1,648,490 and 3,514,725

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Solution

The third proportional to 1,648,490 and 3,514,725 is: 7,493,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,490 : 3,514,725 = 3,514,725 : x
  2. Step 2: Convert to fraction form
    1,648,490/3,514,725 = 3,514,725/x
  3. Step 3: Cross multiply
    1,648,490x = 3,514,725 × 3,514,725
  4. Step 4: Simplify right side
    1,648,490x = 12,353,291,825,625
  5. Step 5: Solve for x
    x = 12,353,291,825,625/1,648,490
  6. Step 6: Final answer
    x = 7,493,701.40

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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.