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Finding the Third Proportional to 560,070 and 1,229,004

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Solution

The third proportional to 560,070 and 1,229,004 is: 2,696,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,070 : 1,229,004 = 1,229,004 : x
  2. Step 2: Convert to fraction form
    560,070/1,229,004 = 1,229,004/x
  3. Step 3: Cross multiply
    560,070x = 1,229,004 × 1,229,004
  4. Step 4: Simplify right side
    560,070x = 1,510,450,832,016
  5. Step 5: Solve for x
    x = 1,510,450,832,016/560,070
  6. Step 6: Final answer
    x = 2,696,896.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.