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Finding the Third Proportional to 656,743.50 and 1,425,582

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Solution

The third proportional to 656,743.50 and 1,425,582 is: 3,094,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,743.50 : 1,425,582 = 1,425,582 : x
  2. Step 2: Convert to fraction form
    656,743.50/1,425,582 = 1,425,582/x
  3. Step 3: Cross multiply
    656,743.50x = 1,425,582 × 1,425,582
  4. Step 4: Simplify right side
    656,743.50x = 2,032,284,038,724
  5. Step 5: Solve for x
    x = 2,032,284,038,724/656,743.50
  6. Step 6: Final answer
    x = 3,094,486.72

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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.