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Finding the Third Proportional to 1,009,875 and 1,517,404.50

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Solution

The third proportional to 1,009,875 and 1,517,404.50 is: 2,280,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,875 : 1,517,404.50 = 1,517,404.50 : x
  2. Step 2: Convert to fraction form
    1,009,875/1,517,404.50 = 1,517,404.50/x
  3. Step 3: Cross multiply
    1,009,875x = 1,517,404.50 × 1,517,404.50
  4. Step 4: Simplify right side
    1,009,875x = 2,302,516,416,620.25
  5. Step 5: Solve for x
    x = 2,302,516,416,620.25/1,009,875
  6. Step 6: Final answer
    x = 2,280,001.40

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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.