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Finding the Third Proportional to 974,235 and 1,403,339

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Solution

The third proportional to 974,235 and 1,403,339 is: 2,021,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,235 : 1,403,339 = 1,403,339 : x
  2. Step 2: Convert to fraction form
    974,235/1,403,339 = 1,403,339/x
  3. Step 3: Cross multiply
    974,235x = 1,403,339 × 1,403,339
  4. Step 4: Simplify right side
    974,235x = 1,969,360,348,921
  5. Step 5: Solve for x
    x = 1,969,360,348,921/974,235
  6. Step 6: Final answer
    x = 2,021,442.82

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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.