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Finding the Third Proportional to 905,895 and 1,974,557

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Solution

The third proportional to 905,895 and 1,974,557 is: 4,303,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,895 : 1,974,557 = 1,974,557 : x
  2. Step 2: Convert to fraction form
    905,895/1,974,557 = 1,974,557/x
  3. Step 3: Cross multiply
    905,895x = 1,974,557 × 1,974,557
  4. Step 4: Simplify right side
    905,895x = 3,898,875,346,249
  5. Step 5: Solve for x
    x = 3,898,875,346,249/905,895
  6. Step 6: Final answer
    x = 4,303,893.22

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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.