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Finding the Third Proportional to 983,457 and 1,482,111

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Solution

The third proportional to 983,457 and 1,482,111 is: 2,233,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,457 : 1,482,111 = 1,482,111 : x
  2. Step 2: Convert to fraction form
    983,457/1,482,111 = 1,482,111/x
  3. Step 3: Cross multiply
    983,457x = 1,482,111 × 1,482,111
  4. Step 4: Simplify right side
    983,457x = 2,196,653,016,321
  5. Step 5: Solve for x
    x = 2,196,653,016,321/983,457
  6. Step 6: Final answer
    x = 2,233,603.52

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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.