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Finding the Third Proportional to 872,604 and 1,280,178

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Solution

The third proportional to 872,604 and 1,280,178 is: 1,878,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,604 : 1,280,178 = 1,280,178 : x
  2. Step 2: Convert to fraction form
    872,604/1,280,178 = 1,280,178/x
  3. Step 3: Cross multiply
    872,604x = 1,280,178 × 1,280,178
  4. Step 4: Simplify right side
    872,604x = 1,638,855,711,684
  5. Step 5: Solve for x
    x = 1,638,855,711,684/872,604
  6. Step 6: Final answer
    x = 1,878,120.79

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