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Finding the Third Proportional to 993,320 and 2,145,411

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Solution

The third proportional to 993,320 and 2,145,411 is: 4,633,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,320 : 2,145,411 = 2,145,411 : x
  2. Step 2: Convert to fraction form
    993,320/2,145,411 = 2,145,411/x
  3. Step 3: Cross multiply
    993,320x = 2,145,411 × 2,145,411
  4. Step 4: Simplify right side
    993,320x = 4,602,788,358,921
  5. Step 5: Solve for x
    x = 4,602,788,358,921/993,320
  6. Step 6: Final answer
    x = 4,633,741.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.