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Finding the Third Proportional to 978,720 and 1,497,336

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Solution

The third proportional to 978,720 and 1,497,336 is: 2,290,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,720 : 1,497,336 = 1,497,336 : x
  2. Step 2: Convert to fraction form
    978,720/1,497,336 = 1,497,336/x
  3. Step 3: Cross multiply
    978,720x = 1,497,336 × 1,497,336
  4. Step 4: Simplify right side
    978,720x = 2,242,015,096,896
  5. Step 5: Solve for x
    x = 2,242,015,096,896/978,720
  6. Step 6: Final answer
    x = 2,290,762.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.