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Finding the Third Proportional to 669,244.78 and 1,019,547.42

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Solution

The third proportional to 669,244.78 and 1,019,547.42 is: 1,553,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,244.78 : 1,019,547.42 = 1,019,547.42 : x
  2. Step 2: Convert to fraction form
    669,244.78/1,019,547.42 = 1,019,547.42/x
  3. Step 3: Cross multiply
    669,244.78x = 1,019,547.42 × 1,019,547.42
  4. Step 4: Simplify right side
    669,244.78x = 1,039,476,945,451.96
  5. Step 5: Solve for x
    x = 1,039,476,945,451.96/669,244.78
  6. Step 6: Final answer
    x = 1,553,208.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.