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Finding the Third Proportional to 407,572 and 893,878

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Solution

The third proportional to 407,572 and 893,878 is: 1,960,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,572 : 893,878 = 893,878 : x
  2. Step 2: Convert to fraction form
    407,572/893,878 = 893,878/x
  3. Step 3: Cross multiply
    407,572x = 893,878 × 893,878
  4. Step 4: Simplify right side
    407,572x = 799,017,878,884
  5. Step 5: Solve for x
    x = 799,017,878,884/407,572
  6. Step 6: Final answer
    x = 1,960,433.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.