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Finding the Third Proportional to 1,418,560 and 3,036,416

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Solution

The third proportional to 1,418,560 and 3,036,416 is: 6,499,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,560 : 3,036,416 = 3,036,416 : x
  2. Step 2: Convert to fraction form
    1,418,560/3,036,416 = 3,036,416/x
  3. Step 3: Cross multiply
    1,418,560x = 3,036,416 × 3,036,416
  4. Step 4: Simplify right side
    1,418,560x = 9,219,822,125,056
  5. Step 5: Solve for x
    x = 9,219,822,125,056/1,418,560
  6. Step 6: Final answer
    x = 6,499,423.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.