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Finding the Third Proportional to 1,456,875 and 2,971,557

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Solution

The third proportional to 1,456,875 and 2,971,557 is: 6,061,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,875 : 2,971,557 = 2,971,557 : x
  2. Step 2: Convert to fraction form
    1,456,875/2,971,557 = 2,971,557/x
  3. Step 3: Cross multiply
    1,456,875x = 2,971,557 × 2,971,557
  4. Step 4: Simplify right side
    1,456,875x = 8,830,151,004,249
  5. Step 5: Solve for x
    x = 8,830,151,004,249/1,456,875
  6. Step 6: Final answer
    x = 6,061,021.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.