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Finding the Third Proportional to 714,087 and 1,487,358

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Solution

The third proportional to 714,087 and 1,487,358 is: 3,097,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,087 : 1,487,358 = 1,487,358 : x
  2. Step 2: Convert to fraction form
    714,087/1,487,358 = 1,487,358/x
  3. Step 3: Cross multiply
    714,087x = 1,487,358 × 1,487,358
  4. Step 4: Simplify right side
    714,087x = 2,212,233,820,164
  5. Step 5: Solve for x
    x = 2,212,233,820,164/714,087
  6. Step 6: Final answer
    x = 3,097,989.21

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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.