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Finding the Third Proportional to 702,946 and 1,455,736

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Solution

The third proportional to 702,946 and 1,455,736 is: 3,014,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,946 : 1,455,736 = 1,455,736 : x
  2. Step 2: Convert to fraction form
    702,946/1,455,736 = 1,455,736/x
  3. Step 3: Cross multiply
    702,946x = 1,455,736 × 1,455,736
  4. Step 4: Simplify right side
    702,946x = 2,119,167,301,696
  5. Step 5: Solve for x
    x = 2,119,167,301,696/702,946
  6. Step 6: Final answer
    x = 3,014,694.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.