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Finding the Third Proportional to 705,282 and 1,516,614

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Solution

The third proportional to 705,282 and 1,516,614 is: 3,261,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,282 : 1,516,614 = 1,516,614 : x
  2. Step 2: Convert to fraction form
    705,282/1,516,614 = 1,516,614/x
  3. Step 3: Cross multiply
    705,282x = 1,516,614 × 1,516,614
  4. Step 4: Simplify right side
    705,282x = 2,300,118,024,996
  5. Step 5: Solve for x
    x = 2,300,118,024,996/705,282
  6. Step 6: Final answer
    x = 3,261,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.