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Finding the Third Proportional to 761,415 and 1,654,050

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Solution

The third proportional to 761,415 and 1,654,050 is: 3,593,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,415 : 1,654,050 = 1,654,050 : x
  2. Step 2: Convert to fraction form
    761,415/1,654,050 = 1,654,050/x
  3. Step 3: Cross multiply
    761,415x = 1,654,050 × 1,654,050
  4. Step 4: Simplify right side
    761,415x = 2,735,881,402,500
  5. Step 5: Solve for x
    x = 2,735,881,402,500/761,415
  6. Step 6: Final answer
    x = 3,593,154.07

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Why These Related Problems?

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