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Finding the Third Proportional to 716,982 and 1,100,541

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Solution

The third proportional to 716,982 and 1,100,541 is: 1,689,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,982 : 1,100,541 = 1,100,541 : x
  2. Step 2: Convert to fraction form
    716,982/1,100,541 = 1,100,541/x
  3. Step 3: Cross multiply
    716,982x = 1,100,541 × 1,100,541
  4. Step 4: Simplify right side
    716,982x = 1,211,190,492,681
  5. Step 5: Solve for x
    x = 1,211,190,492,681/716,982
  6. Step 6: Final answer
    x = 1,689,289.96

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Why These Related Problems?

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