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Finding the Third Proportional to 650,574 and 1,015,209

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Solution

The third proportional to 650,574 and 1,015,209 is: 1,584,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,574 : 1,015,209 = 1,015,209 : x
  2. Step 2: Convert to fraction form
    650,574/1,015,209 = 1,015,209/x
  3. Step 3: Cross multiply
    650,574x = 1,015,209 × 1,015,209
  4. Step 4: Simplify right side
    650,574x = 1,030,649,313,681
  5. Step 5: Solve for x
    x = 1,030,649,313,681/650,574
  6. Step 6: Final answer
    x = 1,584,215.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.