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Finding the Third Proportional to 716,948 and 1,100,487

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Solution

The third proportional to 716,948 and 1,100,487 is: 1,689,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,948 : 1,100,487 = 1,100,487 : x
  2. Step 2: Convert to fraction form
    716,948/1,100,487 = 1,100,487/x
  3. Step 3: Cross multiply
    716,948x = 1,100,487 × 1,100,487
  4. Step 4: Simplify right side
    716,948x = 1,211,071,637,169
  5. Step 5: Solve for x
    x = 1,211,071,637,169/716,948
  6. Step 6: Final answer
    x = 1,689,204.29

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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.