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Finding the Third Proportional to 787,312 and 1,253,364

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Solution

The third proportional to 787,312 and 1,253,364 is: 1,995,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,312 : 1,253,364 = 1,253,364 : x
  2. Step 2: Convert to fraction form
    787,312/1,253,364 = 1,253,364/x
  3. Step 3: Cross multiply
    787,312x = 1,253,364 × 1,253,364
  4. Step 4: Simplify right side
    787,312x = 1,570,921,316,496
  5. Step 5: Solve for x
    x = 1,570,921,316,496/787,312
  6. Step 6: Final answer
    x = 1,995,297.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.