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Finding the Third Proportional to 872,644 and 1,280,224

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Solution

The third proportional to 872,644 and 1,280,224 is: 1,878,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,644 : 1,280,224 = 1,280,224 : x
  2. Step 2: Convert to fraction form
    872,644/1,280,224 = 1,280,224/x
  3. Step 3: Cross multiply
    872,644x = 1,280,224 × 1,280,224
  4. Step 4: Simplify right side
    872,644x = 1,638,973,490,176
  5. Step 5: Solve for x
    x = 1,638,973,490,176/872,644
  6. Step 6: Final answer
    x = 1,878,169.67

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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.