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Finding the Third Proportional to 761,624 and 1,642,270

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Solution

The third proportional to 761,624 and 1,642,270 is: 3,541,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,624 : 1,642,270 = 1,642,270 : x
  2. Step 2: Convert to fraction form
    761,624/1,642,270 = 1,642,270/x
  3. Step 3: Cross multiply
    761,624x = 1,642,270 × 1,642,270
  4. Step 4: Simplify right side
    761,624x = 2,697,050,752,900
  5. Step 5: Solve for x
    x = 2,697,050,752,900/761,624
  6. Step 6: Final answer
    x = 3,541,184.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.