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Finding the Third Proportional to 710,770 and 1,091,944

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Solution

The third proportional to 710,770 and 1,091,944 is: 1,677,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,770 : 1,091,944 = 1,091,944 : x
  2. Step 2: Convert to fraction form
    710,770/1,091,944 = 1,091,944/x
  3. Step 3: Cross multiply
    710,770x = 1,091,944 × 1,091,944
  4. Step 4: Simplify right side
    710,770x = 1,192,341,699,136
  5. Step 5: Solve for x
    x = 1,192,341,699,136/710,770
  6. Step 6: Final answer
    x = 1,677,535.21

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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.