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Finding the Third Proportional to 710,772 and 1,091,947

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Solution

The third proportional to 710,772 and 1,091,947 is: 1,677,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,772 : 1,091,947 = 1,091,947 : x
  2. Step 2: Convert to fraction form
    710,772/1,091,947 = 1,091,947/x
  3. Step 3: Cross multiply
    710,772x = 1,091,947 × 1,091,947
  4. Step 4: Simplify right side
    710,772x = 1,192,348,250,809
  5. Step 5: Solve for x
    x = 1,192,348,250,809/710,772
  6. Step 6: Final answer
    x = 1,677,539.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.