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Finding the Third Proportional to 415,664 and 893,487

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Solution

The third proportional to 415,664 and 893,487 is: 1,920,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,664 : 893,487 = 893,487 : x
  2. Step 2: Convert to fraction form
    415,664/893,487 = 893,487/x
  3. Step 3: Cross multiply
    415,664x = 893,487 × 893,487
  4. Step 4: Simplify right side
    415,664x = 798,319,019,169
  5. Step 5: Solve for x
    x = 798,319,019,169/415,664
  6. Step 6: Final answer
    x = 1,920,587.35

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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.