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Finding the Third Proportional to 416,560 and 896,409

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Solution

The third proportional to 416,560 and 896,409 is: 1,929,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,560 : 896,409 = 896,409 : x
  2. Step 2: Convert to fraction form
    416,560/896,409 = 896,409/x
  3. Step 3: Cross multiply
    416,560x = 896,409 × 896,409
  4. Step 4: Simplify right side
    416,560x = 803,549,095,281
  5. Step 5: Solve for x
    x = 803,549,095,281/416,560
  6. Step 6: Final answer
    x = 1,929,011.66

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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.