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Finding the Third Proportional to 688,526 and 1,499,537

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Solution

The third proportional to 688,526 and 1,499,537 is: 3,265,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,526 : 1,499,537 = 1,499,537 : x
  2. Step 2: Convert to fraction form
    688,526/1,499,537 = 1,499,537/x
  3. Step 3: Cross multiply
    688,526x = 1,499,537 × 1,499,537
  4. Step 4: Simplify right side
    688,526x = 2,248,611,214,369
  5. Step 5: Solve for x
    x = 2,248,611,214,369/688,526
  6. Step 6: Final answer
    x = 3,265,833.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.