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Finding the Third Proportional to 703,008 and 1,534,320

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Solution

The third proportional to 703,008 and 1,534,320 is: 3,348,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,008 : 1,534,320 = 1,534,320 : x
  2. Step 2: Convert to fraction form
    703,008/1,534,320 = 1,534,320/x
  3. Step 3: Cross multiply
    703,008x = 1,534,320 × 1,534,320
  4. Step 4: Simplify right side
    703,008x = 2,354,137,862,400
  5. Step 5: Solve for x
    x = 2,354,137,862,400/703,008
  6. Step 6: Final answer
    x = 3,348,664.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.