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Finding the Third Proportional to 962,084 and 2,091,623

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Solution

The third proportional to 962,084 and 2,091,623 is: 4,547,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,084 : 2,091,623 = 2,091,623 : x
  2. Step 2: Convert to fraction form
    962,084/2,091,623 = 2,091,623/x
  3. Step 3: Cross multiply
    962,084x = 2,091,623 × 2,091,623
  4. Step 4: Simplify right side
    962,084x = 4,374,886,774,129
  5. Step 5: Solve for x
    x = 4,374,886,774,129/962,084
  6. Step 6: Final answer
    x = 4,547,302.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.