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Finding the Third Proportional to 974,237 and 1,403,342

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Solution

The third proportional to 974,237 and 1,403,342 is: 2,021,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,237 : 1,403,342 = 1,403,342 : x
  2. Step 2: Convert to fraction form
    974,237/1,403,342 = 1,403,342/x
  3. Step 3: Cross multiply
    974,237x = 1,403,342 × 1,403,342
  4. Step 4: Simplify right side
    974,237x = 1,969,368,768,964
  5. Step 5: Solve for x
    x = 1,969,368,768,964/974,237
  6. Step 6: Final answer
    x = 2,021,447.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.