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Finding the Third Proportional to 710,316 and 1,072,845

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Solution

The third proportional to 710,316 and 1,072,845 is: 1,620,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,316 : 1,072,845 = 1,072,845 : x
  2. Step 2: Convert to fraction form
    710,316/1,072,845 = 1,072,845/x
  3. Step 3: Cross multiply
    710,316x = 1,072,845 × 1,072,845
  4. Step 4: Simplify right side
    710,316x = 1,150,996,394,025
  5. Step 5: Solve for x
    x = 1,150,996,394,025/710,316
  6. Step 6: Final answer
    x = 1,620,400.49

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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.