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Finding the Third Proportional to 978,697 and 1,497,297

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Solution

The third proportional to 978,697 and 1,497,297 is: 2,290,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,697 : 1,497,297 = 1,497,297 : x
  2. Step 2: Convert to fraction form
    978,697/1,497,297 = 1,497,297/x
  3. Step 3: Cross multiply
    978,697x = 1,497,297 × 1,497,297
  4. Step 4: Simplify right side
    978,697x = 2,241,898,306,209
  5. Step 5: Solve for x
    x = 2,241,898,306,209/978,697
  6. Step 6: Final answer
    x = 2,290,697.02

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