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Finding the Third Proportional to 983,964 and 1,475,958

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Solution

The third proportional to 983,964 and 1,475,958 is: 2,213,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,964 : 1,475,958 = 1,475,958 : x
  2. Step 2: Convert to fraction form
    983,964/1,475,958 = 1,475,958/x
  3. Step 3: Cross multiply
    983,964x = 1,475,958 × 1,475,958
  4. Step 4: Simplify right side
    983,964x = 2,178,452,017,764
  5. Step 5: Solve for x
    x = 2,178,452,017,764/983,964
  6. Step 6: Final answer
    x = 2,213,955.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.