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Finding the Third Proportional to 460,811.53 and 1,010,204.16

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Solution

The third proportional to 460,811.53 and 1,010,204.16 is: 2,214,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,811.53 : 1,010,204.16 = 1,010,204.16 : x
  2. Step 2: Convert to fraction form
    460,811.53/1,010,204.16 = 1,010,204.16/x
  3. Step 3: Cross multiply
    460,811.53x = 1,010,204.16 × 1,010,204.16
  4. Step 4: Simplify right side
    460,811.53x = 1,020,512,437,304.77
  5. Step 5: Solve for x
    x = 1,020,512,437,304.77/460,811.53
  6. Step 6: Final answer
    x = 2,214,598.31

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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.