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Finding the Third Proportional to 761,616 and 1,654,340

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Solution

The third proportional to 761,616 and 1,654,340 is: 3,593,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,616 : 1,654,340 = 1,654,340 : x
  2. Step 2: Convert to fraction form
    761,616/1,654,340 = 1,654,340/x
  3. Step 3: Cross multiply
    761,616x = 1,654,340 × 1,654,340
  4. Step 4: Simplify right side
    761,616x = 2,736,840,835,600
  5. Step 5: Solve for x
    x = 2,736,840,835,600/761,616
  6. Step 6: Final answer
    x = 3,593,465.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.