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Finding the Third Proportional to 586,389.38 and 1,284,885.28

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Solution

The third proportional to 586,389.38 and 1,284,885.28 is: 2,815,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,389.38 : 1,284,885.28 = 1,284,885.28 : x
  2. Step 2: Convert to fraction form
    586,389.38/1,284,885.28 = 1,284,885.28/x
  3. Step 3: Cross multiply
    586,389.38x = 1,284,885.28 × 1,284,885.28
  4. Step 4: Simplify right side
    586,389.38x = 1,650,930,185,972.89
  5. Step 5: Solve for x
    x = 1,650,930,185,972.89/586,389.38
  6. Step 6: Final answer
    x = 2,815,416.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.