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Finding the Third Proportional to 1,006,029.50 and 1,570,280

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Solution

The third proportional to 1,006,029.50 and 1,570,280 is: 2,451,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,029.50 : 1,570,280 = 1,570,280 : x
  2. Step 2: Convert to fraction form
    1,006,029.50/1,570,280 = 1,570,280/x
  3. Step 3: Cross multiply
    1,006,029.50x = 1,570,280 × 1,570,280
  4. Step 4: Simplify right side
    1,006,029.50x = 2,465,779,278,400
  5. Step 5: Solve for x
    x = 2,465,779,278,400/1,006,029.50
  6. Step 6: Final answer
    x = 2,451,000.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.