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Finding the Third Proportional to 656,598 and 1,411,275

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Solution

The third proportional to 656,598 and 1,411,275 is: 3,033,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,598 : 1,411,275 = 1,411,275 : x
  2. Step 2: Convert to fraction form
    656,598/1,411,275 = 1,411,275/x
  3. Step 3: Cross multiply
    656,598x = 1,411,275 × 1,411,275
  4. Step 4: Simplify right side
    656,598x = 1,991,697,125,625
  5. Step 5: Solve for x
    x = 1,991,697,125,625/656,598
  6. Step 6: Final answer
    x = 3,033,358.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.