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Finding the Third Proportional to 697,842 and 1,046,736

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Solution

The third proportional to 697,842 and 1,046,736 is: 1,570,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,842 : 1,046,736 = 1,046,736 : x
  2. Step 2: Convert to fraction form
    697,842/1,046,736 = 1,046,736/x
  3. Step 3: Cross multiply
    697,842x = 1,046,736 × 1,046,736
  4. Step 4: Simplify right side
    697,842x = 1,095,656,253,696
  5. Step 5: Solve for x
    x = 1,095,656,253,696/697,842
  6. Step 6: Final answer
    x = 1,570,063.50

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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.