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Finding the Third Proportional to 456,324 and 1,017,460

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Solution

The third proportional to 456,324 and 1,017,460 is: 2,268,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,324 : 1,017,460 = 1,017,460 : x
  2. Step 2: Convert to fraction form
    456,324/1,017,460 = 1,017,460/x
  3. Step 3: Cross multiply
    456,324x = 1,017,460 × 1,017,460
  4. Step 4: Simplify right side
    456,324x = 1,035,224,851,600
  5. Step 5: Solve for x
    x = 1,035,224,851,600/456,324
  6. Step 6: Final answer
    x = 2,268,618.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.