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Finding the Third Proportional to 872,604.75 and 1,280,176.13

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Solution

The third proportional to 872,604.75 and 1,280,176.13 is: 1,878,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,604.75 : 1,280,176.13 = 1,280,176.13 : x
  2. Step 2: Convert to fraction form
    872,604.75/1,280,176.13 = 1,280,176.13/x
  3. Step 3: Cross multiply
    872,604.75x = 1,280,176.13 × 1,280,176.13
  4. Step 4: Simplify right side
    872,604.75x = 1,638,850,911,020.02
  5. Step 5: Solve for x
    x = 1,638,850,911,020.02/872,604.75
  6. Step 6: Final answer
    x = 1,878,113.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.