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Finding the Third Proportional to 714,406 and 1,088,358

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Solution

The third proportional to 714,406 and 1,088,358 is: 1,658,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,406 : 1,088,358 = 1,088,358 : x
  2. Step 2: Convert to fraction form
    714,406/1,088,358 = 1,088,358/x
  3. Step 3: Cross multiply
    714,406x = 1,088,358 × 1,088,358
  4. Step 4: Simplify right side
    714,406x = 1,184,523,136,164
  5. Step 5: Solve for x
    x = 1,184,523,136,164/714,406
  6. Step 6: Final answer
    x = 1,658,053.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.