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Finding the Third Proportional to 893,464 and 1,911,584

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Solution

The third proportional to 893,464 and 1,911,584 is: 4,089,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,464 : 1,911,584 = 1,911,584 : x
  2. Step 2: Convert to fraction form
    893,464/1,911,584 = 1,911,584/x
  3. Step 3: Cross multiply
    893,464x = 1,911,584 × 1,911,584
  4. Step 4: Simplify right side
    893,464x = 3,654,153,389,056
  5. Step 5: Solve for x
    x = 3,654,153,389,056/893,464
  6. Step 6: Final answer
    x = 4,089,871.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.