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Finding the Third Proportional to 714,618 and 1,569,217

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Solution

The third proportional to 714,618 and 1,569,217 is: 3,445,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,618 : 1,569,217 = 1,569,217 : x
  2. Step 2: Convert to fraction form
    714,618/1,569,217 = 1,569,217/x
  3. Step 3: Cross multiply
    714,618x = 1,569,217 × 1,569,217
  4. Step 4: Simplify right side
    714,618x = 2,462,441,993,089
  5. Step 5: Solve for x
    x = 2,462,441,993,089/714,618
  6. Step 6: Final answer
    x = 3,445,815.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.