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Finding the Third Proportional to 1,648,492 and 3,514,730

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Solution

The third proportional to 1,648,492 and 3,514,730 is: 7,493,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,492 : 3,514,730 = 3,514,730 : x
  2. Step 2: Convert to fraction form
    1,648,492/3,514,730 = 3,514,730/x
  3. Step 3: Cross multiply
    1,648,492x = 3,514,730 × 3,514,730
  4. Step 4: Simplify right side
    1,648,492x = 12,353,326,972,900
  5. Step 5: Solve for x
    x = 12,353,326,972,900/1,648,492
  6. Step 6: Final answer
    x = 7,493,713.63

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