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Finding the Third Proportional to 714,208 and 1,487,594

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Solution

The third proportional to 714,208 and 1,487,594 is: 3,098,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,208 : 1,487,594 = 1,487,594 : x
  2. Step 2: Convert to fraction form
    714,208/1,487,594 = 1,487,594/x
  3. Step 3: Cross multiply
    714,208x = 1,487,594 × 1,487,594
  4. Step 4: Simplify right side
    714,208x = 2,212,935,908,836
  5. Step 5: Solve for x
    x = 2,212,935,908,836/714,208
  6. Step 6: Final answer
    x = 3,098,447.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.