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Finding the Third Proportional to 1,989,216 and 4,292,928

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Solution

The third proportional to 1,989,216 and 4,292,928 is: 9,264,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,216 : 4,292,928 = 4,292,928 : x
  2. Step 2: Convert to fraction form
    1,989,216/4,292,928 = 4,292,928/x
  3. Step 3: Cross multiply
    1,989,216x = 4,292,928 × 4,292,928
  4. Step 4: Simplify right side
    1,989,216x = 18,429,230,813,184
  5. Step 5: Solve for x
    x = 18,429,230,813,184/1,989,216
  6. Step 6: Final answer
    x = 9,264,569.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.