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Finding the Third Proportional to 802,640 and 1,070,004

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Solution

The third proportional to 802,640 and 1,070,004 is: 1,426,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,640 : 1,070,004 = 1,070,004 : x
  2. Step 2: Convert to fraction form
    802,640/1,070,004 = 1,070,004/x
  3. Step 3: Cross multiply
    802,640x = 1,070,004 × 1,070,004
  4. Step 4: Simplify right side
    802,640x = 1,144,908,560,016
  5. Step 5: Solve for x
    x = 1,144,908,560,016/802,640
  6. Step 6: Final answer
    x = 1,426,428.49

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.