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Finding the Third Proportional to 719,213 and 1,091,940

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Solution

The third proportional to 719,213 and 1,091,940 is: 1,657,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,213 : 1,091,940 = 1,091,940 : x
  2. Step 2: Convert to fraction form
    719,213/1,091,940 = 1,091,940/x
  3. Step 3: Cross multiply
    719,213x = 1,091,940 × 1,091,940
  4. Step 4: Simplify right side
    719,213x = 1,192,332,963,600
  5. Step 5: Solve for x
    x = 1,192,332,963,600/719,213
  6. Step 6: Final answer
    x = 1,657,830.11

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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.