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Finding the Third Proportional to 464,364 and 1,013,292

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Solution

The third proportional to 464,364 and 1,013,292 is: 2,211,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,364 : 1,013,292 = 1,013,292 : x
  2. Step 2: Convert to fraction form
    464,364/1,013,292 = 1,013,292/x
  3. Step 3: Cross multiply
    464,364x = 1,013,292 × 1,013,292
  4. Step 4: Simplify right side
    464,364x = 1,026,760,677,264
  5. Step 5: Solve for x
    x = 1,026,760,677,264/464,364
  6. Step 6: Final answer
    x = 2,211,111.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.