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Finding the Third Proportional to 871,788 and 1,312,706

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Solution

The third proportional to 871,788 and 1,312,706 is: 1,976,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,788 : 1,312,706 = 1,312,706 : x
  2. Step 2: Convert to fraction form
    871,788/1,312,706 = 1,312,706/x
  3. Step 3: Cross multiply
    871,788x = 1,312,706 × 1,312,706
  4. Step 4: Simplify right side
    871,788x = 1,723,197,042,436
  5. Step 5: Solve for x
    x = 1,723,197,042,436/871,788
  6. Step 6: Final answer
    x = 1,976,623.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.