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Finding the Third Proportional to 813,914 and 1,197,340

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Solution

The third proportional to 813,914 and 1,197,340 is: 1,761,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,914 : 1,197,340 = 1,197,340 : x
  2. Step 2: Convert to fraction form
    813,914/1,197,340 = 1,197,340/x
  3. Step 3: Cross multiply
    813,914x = 1,197,340 × 1,197,340
  4. Step 4: Simplify right side
    813,914x = 1,433,623,075,600
  5. Step 5: Solve for x
    x = 1,433,623,075,600/813,914
  6. Step 6: Final answer
    x = 1,761,393.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.