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Finding the Third Proportional to 415,700 and 893,557

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Solution

The third proportional to 415,700 and 893,557 is: 1,920,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,700 : 893,557 = 893,557 : x
  2. Step 2: Convert to fraction form
    415,700/893,557 = 893,557/x
  3. Step 3: Cross multiply
    415,700x = 893,557 × 893,557
  4. Step 4: Simplify right side
    415,700x = 798,444,112,249
  5. Step 5: Solve for x
    x = 798,444,112,249/415,700
  6. Step 6: Final answer
    x = 1,920,721.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.