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Finding the Third Proportional to 1,047,960 and 1,570,320

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Solution

The third proportional to 1,047,960 and 1,570,320 is: 2,353,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,960 : 1,570,320 = 1,570,320 : x
  2. Step 2: Convert to fraction form
    1,047,960/1,570,320 = 1,570,320/x
  3. Step 3: Cross multiply
    1,047,960x = 1,570,320 × 1,570,320
  4. Step 4: Simplify right side
    1,047,960x = 2,465,904,902,400
  5. Step 5: Solve for x
    x = 2,465,904,902,400/1,047,960
  6. Step 6: Final answer
    x = 2,353,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.