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Finding the Third Proportional to 910,078 and 1,347,210

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Solution

The third proportional to 910,078 and 1,347,210 is: 1,994,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,078 : 1,347,210 = 1,347,210 : x
  2. Step 2: Convert to fraction form
    910,078/1,347,210 = 1,347,210/x
  3. Step 3: Cross multiply
    910,078x = 1,347,210 × 1,347,210
  4. Step 4: Simplify right side
    910,078x = 1,814,974,784,100
  5. Step 5: Solve for x
    x = 1,814,974,784,100/910,078
  6. Step 6: Final answer
    x = 1,994,306.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.