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Finding the Third Proportional to 1,012,803.75 and 1,567,724.63

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Solution

The third proportional to 1,012,803.75 and 1,567,724.63 is: 2,426,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,803.75 : 1,567,724.63 = 1,567,724.63 : x
  2. Step 2: Convert to fraction form
    1,012,803.75/1,567,724.63 = 1,567,724.63/x
  3. Step 3: Cross multiply
    1,012,803.75x = 1,567,724.63 × 1,567,724.63
  4. Step 4: Simplify right side
    1,012,803.75x = 2,457,760,499,831.39
  5. Step 5: Solve for x
    x = 2,457,760,499,831.39/1,012,803.75
  6. Step 6: Final answer
    x = 2,426,689.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.