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Finding the Third Proportional to 983,407.50 and 1,518,786

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Solution

The third proportional to 983,407.50 and 1,518,786 is: 2,345,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,407.50 : 1,518,786 = 1,518,786 : x
  2. Step 2: Convert to fraction form
    983,407.50/1,518,786 = 1,518,786/x
  3. Step 3: Cross multiply
    983,407.50x = 1,518,786 × 1,518,786
  4. Step 4: Simplify right side
    983,407.50x = 2,306,710,913,796
  5. Step 5: Solve for x
    x = 2,306,710,913,796/983,407.50
  6. Step 6: Final answer
    x = 2,345,630.79

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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.