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Finding the Third Proportional to 561,918 and 893,748

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Solution

The third proportional to 561,918 and 893,748 is: 1,421,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,918 : 893,748 = 893,748 : x
  2. Step 2: Convert to fraction form
    561,918/893,748 = 893,748/x
  3. Step 3: Cross multiply
    561,918x = 893,748 × 893,748
  4. Step 4: Simplify right side
    561,918x = 798,785,487,504
  5. Step 5: Solve for x
    x = 798,785,487,504/561,918
  6. Step 6: Final answer
    x = 1,421,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.