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Finding the Third Proportional to 896,346 and 1,960,518

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Solution

The third proportional to 896,346 and 1,960,518 is: 4,288,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,346 : 1,960,518 = 1,960,518 : x
  2. Step 2: Convert to fraction form
    896,346/1,960,518 = 1,960,518/x
  3. Step 3: Cross multiply
    896,346x = 1,960,518 × 1,960,518
  4. Step 4: Simplify right side
    896,346x = 3,843,630,828,324
  5. Step 5: Solve for x
    x = 3,843,630,828,324/896,346
  6. Step 6: Final answer
    x = 4,288,110.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.