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Finding the Third Proportional to 1,460,335 and 2,178,351

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Solution

The third proportional to 1,460,335 and 2,178,351 is: 3,249,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,335 : 2,178,351 = 2,178,351 : x
  2. Step 2: Convert to fraction form
    1,460,335/2,178,351 = 2,178,351/x
  3. Step 3: Cross multiply
    1,460,335x = 2,178,351 × 2,178,351
  4. Step 4: Simplify right side
    1,460,335x = 4,745,213,079,201
  5. Step 5: Solve for x
    x = 4,745,213,079,201/1,460,335
  6. Step 6: Final answer
    x = 3,249,400.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.