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Finding the Third Proportional to 464,656 and 1,007,312

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Solution

The third proportional to 464,656 and 1,007,312 is: 2,183,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,656 : 1,007,312 = 1,007,312 : x
  2. Step 2: Convert to fraction form
    464,656/1,007,312 = 1,007,312/x
  3. Step 3: Cross multiply
    464,656x = 1,007,312 × 1,007,312
  4. Step 4: Simplify right side
    464,656x = 1,014,677,465,344
  5. Step 5: Solve for x
    x = 1,014,677,465,344/464,656
  6. Step 6: Final answer
    x = 2,183,717.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.