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Finding the Third Proportional to 710,957 and 1,090,188

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Solution

The third proportional to 710,957 and 1,090,188 is: 1,671,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,957 : 1,090,188 = 1,090,188 : x
  2. Step 2: Convert to fraction form
    710,957/1,090,188 = 1,090,188/x
  3. Step 3: Cross multiply
    710,957x = 1,090,188 × 1,090,188
  4. Step 4: Simplify right side
    710,957x = 1,188,509,875,344
  5. Step 5: Solve for x
    x = 1,188,509,875,344/710,957
  6. Step 6: Final answer
    x = 1,671,704.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.