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Finding the Third Proportional to 1,025,262 and 1,578,054

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Solution

The third proportional to 1,025,262 and 1,578,054 is: 2,428,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,262 : 1,578,054 = 1,578,054 : x
  2. Step 2: Convert to fraction form
    1,025,262/1,578,054 = 1,578,054/x
  3. Step 3: Cross multiply
    1,025,262x = 1,578,054 × 1,578,054
  4. Step 4: Simplify right side
    1,025,262x = 2,490,254,426,916
  5. Step 5: Solve for x
    x = 2,490,254,426,916/1,025,262
  6. Step 6: Final answer
    x = 2,428,895.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.