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Finding the Third Proportional to 983,419 and 1,518,803

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Solution

The third proportional to 983,419 and 1,518,803 is: 2,345,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,419 : 1,518,803 = 1,518,803 : x
  2. Step 2: Convert to fraction form
    983,419/1,518,803 = 1,518,803/x
  3. Step 3: Cross multiply
    983,419x = 1,518,803 × 1,518,803
  4. Step 4: Simplify right side
    983,419x = 2,306,762,552,809
  5. Step 5: Solve for x
    x = 2,306,762,552,809/983,419
  6. Step 6: Final answer
    x = 2,345,655.87

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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.