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Finding the Third Proportional to 688,738 and 1,499,458

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Solution

The third proportional to 688,738 and 1,499,458 is: 3,264,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,738 : 1,499,458 = 1,499,458 : x
  2. Step 2: Convert to fraction form
    688,738/1,499,458 = 1,499,458/x
  3. Step 3: Cross multiply
    688,738x = 1,499,458 × 1,499,458
  4. Step 4: Simplify right side
    688,738x = 2,248,374,293,764
  5. Step 5: Solve for x
    x = 2,248,374,293,764/688,738
  6. Step 6: Final answer
    x = 3,264,484.16

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