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Finding the Third Proportional to 714,012 and 1,487,160

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Solution

The third proportional to 714,012 and 1,487,160 is: 3,097,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,012 : 1,487,160 = 1,487,160 : x
  2. Step 2: Convert to fraction form
    714,012/1,487,160 = 1,487,160/x
  3. Step 3: Cross multiply
    714,012x = 1,487,160 × 1,487,160
  4. Step 4: Simplify right side
    714,012x = 2,211,644,865,600
  5. Step 5: Solve for x
    x = 2,211,644,865,600/714,012
  6. Step 6: Final answer
    x = 3,097,489.77

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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.