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Finding the Third Proportional to 687,826 and 917,346

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Solution

The third proportional to 687,826 and 917,346 is: 1,223,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,826 : 917,346 = 917,346 : x
  2. Step 2: Convert to fraction form
    687,826/917,346 = 917,346/x
  3. Step 3: Cross multiply
    687,826x = 917,346 × 917,346
  4. Step 4: Simplify right side
    687,826x = 841,523,683,716
  5. Step 5: Solve for x
    x = 841,523,683,716/687,826
  6. Step 6: Final answer
    x = 1,223,454.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.