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Finding the Third Proportional to 919,269 and 1,417,671

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Solution

The third proportional to 919,269 and 1,417,671 is: 2,186,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,269 : 1,417,671 = 1,417,671 : x
  2. Step 2: Convert to fraction form
    919,269/1,417,671 = 1,417,671/x
  3. Step 3: Cross multiply
    919,269x = 1,417,671 × 1,417,671
  4. Step 4: Simplify right side
    919,269x = 2,009,791,064,241
  5. Step 5: Solve for x
    x = 2,009,791,064,241/919,269
  6. Step 6: Final answer
    x = 2,186,292.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.