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Finding the Third Proportional to 464,546 and 1,005,124

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Solution

The third proportional to 464,546 and 1,005,124 is: 2,174,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,546 : 1,005,124 = 1,005,124 : x
  2. Step 2: Convert to fraction form
    464,546/1,005,124 = 1,005,124/x
  3. Step 3: Cross multiply
    464,546x = 1,005,124 × 1,005,124
  4. Step 4: Simplify right side
    464,546x = 1,010,274,255,376
  5. Step 5: Solve for x
    x = 1,010,274,255,376/464,546
  6. Step 6: Final answer
    x = 2,174,756.12

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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.