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Finding the Third Proportional to 1,006,037 and 1,570,290.50

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Solution

The third proportional to 1,006,037 and 1,570,290.50 is: 2,451,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,037 : 1,570,290.50 = 1,570,290.50 : x
  2. Step 2: Convert to fraction form
    1,006,037/1,570,290.50 = 1,570,290.50/x
  3. Step 3: Cross multiply
    1,006,037x = 1,570,290.50 × 1,570,290.50
  4. Step 4: Simplify right side
    1,006,037x = 2,465,812,254,390.25
  5. Step 5: Solve for x
    x = 2,465,812,254,390.25/1,006,037
  6. Step 6: Final answer
    x = 2,451,015.47

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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.