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Finding the Third Proportional to 983,202 and 1,483,827

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Solution

The third proportional to 983,202 and 1,483,827 is: 2,239,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,202 : 1,483,827 = 1,483,827 : x
  2. Step 2: Convert to fraction form
    983,202/1,483,827 = 1,483,827/x
  3. Step 3: Cross multiply
    983,202x = 1,483,827 × 1,483,827
  4. Step 4: Simplify right side
    983,202x = 2,201,742,565,929
  5. Step 5: Solve for x
    x = 2,201,742,565,929/983,202
  6. Step 6: Final answer
    x = 2,239,359.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.