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Finding the Third Proportional to 702,952 and 1,089,384

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Solution

The third proportional to 702,952 and 1,089,384 is: 1,688,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,952 : 1,089,384 = 1,089,384 : x
  2. Step 2: Convert to fraction form
    702,952/1,089,384 = 1,089,384/x
  3. Step 3: Cross multiply
    702,952x = 1,089,384 × 1,089,384
  4. Step 4: Simplify right side
    702,952x = 1,186,757,499,456
  5. Step 5: Solve for x
    x = 1,186,757,499,456/702,952
  6. Step 6: Final answer
    x = 1,688,248.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.