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Finding the Third Proportional to 916,320 and 1,347,000

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Solution

The third proportional to 916,320 and 1,347,000 is: 1,980,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,320 : 1,347,000 = 1,347,000 : x
  2. Step 2: Convert to fraction form
    916,320/1,347,000 = 1,347,000/x
  3. Step 3: Cross multiply
    916,320x = 1,347,000 × 1,347,000
  4. Step 4: Simplify right side
    916,320x = 1,814,409,000,000
  5. Step 5: Solve for x
    x = 1,814,409,000,000/916,320
  6. Step 6: Final answer
    x = 1,980,104.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.