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Finding the Third Proportional to 921,657 and 2,005,083

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Solution

The third proportional to 921,657 and 2,005,083 is: 4,362,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,657 : 2,005,083 = 2,005,083 : x
  2. Step 2: Convert to fraction form
    921,657/2,005,083 = 2,005,083/x
  3. Step 3: Cross multiply
    921,657x = 2,005,083 × 2,005,083
  4. Step 4: Simplify right side
    921,657x = 4,020,357,836,889
  5. Step 5: Solve for x
    x = 4,020,357,836,889/921,657
  6. Step 6: Final answer
    x = 4,362,097.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.