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Finding the Third Proportional to 1,477,599 and 3,207,413

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Solution

The third proportional to 1,477,599 and 3,207,413 is: 6,962,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,599 : 3,207,413 = 3,207,413 : x
  2. Step 2: Convert to fraction form
    1,477,599/3,207,413 = 3,207,413/x
  3. Step 3: Cross multiply
    1,477,599x = 3,207,413 × 3,207,413
  4. Step 4: Simplify right side
    1,477,599x = 10,287,498,152,569
  5. Step 5: Solve for x
    x = 10,287,498,152,569/1,477,599
  6. Step 6: Final answer
    x = 6,962,307.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.