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Finding the Third Proportional to 616,776 and 898,911

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Solution

The third proportional to 616,776 and 898,911 is: 1,310,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,776 : 898,911 = 898,911 : x
  2. Step 2: Convert to fraction form
    616,776/898,911 = 898,911/x
  3. Step 3: Cross multiply
    616,776x = 898,911 × 898,911
  4. Step 4: Simplify right side
    616,776x = 808,040,985,921
  5. Step 5: Solve for x
    x = 808,040,985,921/616,776
  6. Step 6: Final answer
    x = 1,310,104.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.