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Finding the Third Proportional to 609,716 and 1,402,320

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Solution

The third proportional to 609,716 and 1,402,320 is: 3,225,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,716 : 1,402,320 = 1,402,320 : x
  2. Step 2: Convert to fraction form
    609,716/1,402,320 = 1,402,320/x
  3. Step 3: Cross multiply
    609,716x = 1,402,320 × 1,402,320
  4. Step 4: Simplify right side
    609,716x = 1,966,501,382,400
  5. Step 5: Solve for x
    x = 1,966,501,382,400/609,716
  6. Step 6: Final answer
    x = 3,225,274.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.