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Finding the Third Proportional to 702,984 and 1,089,432

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Solution

The third proportional to 702,984 and 1,089,432 is: 1,688,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,984 : 1,089,432 = 1,089,432 : x
  2. Step 2: Convert to fraction form
    702,984/1,089,432 = 1,089,432/x
  3. Step 3: Cross multiply
    702,984x = 1,089,432 × 1,089,432
  4. Step 4: Simplify right side
    702,984x = 1,186,862,082,624
  5. Step 5: Solve for x
    x = 1,186,862,082,624/702,984
  6. Step 6: Final answer
    x = 1,688,320.19

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Why These Related Problems?

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