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Finding the Third Proportional to 416,572 and 896,432

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Solution

The third proportional to 416,572 and 896,432 is: 1,929,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,572 : 896,432 = 896,432 : x
  2. Step 2: Convert to fraction form
    416,572/896,432 = 896,432/x
  3. Step 3: Cross multiply
    416,572x = 896,432 × 896,432
  4. Step 4: Simplify right side
    416,572x = 803,590,330,624
  5. Step 5: Solve for x
    x = 803,590,330,624/416,572
  6. Step 6: Final answer
    x = 1,929,055.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.