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Finding the Third Proportional to 803,728 and 1,094,541

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Solution

The third proportional to 803,728 and 1,094,541 is: 1,490,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,728 : 1,094,541 = 1,094,541 : x
  2. Step 2: Convert to fraction form
    803,728/1,094,541 = 1,094,541/x
  3. Step 3: Cross multiply
    803,728x = 1,094,541 × 1,094,541
  4. Step 4: Simplify right side
    803,728x = 1,198,020,000,681
  5. Step 5: Solve for x
    x = 1,198,020,000,681/803,728
  6. Step 6: Final answer
    x = 1,490,578.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.