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Finding the Third Proportional to 713,696 and 1,042,066

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Solution

The third proportional to 713,696 and 1,042,066 is: 1,521,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,696 : 1,042,066 = 1,042,066 : x
  2. Step 2: Convert to fraction form
    713,696/1,042,066 = 1,042,066/x
  3. Step 3: Cross multiply
    713,696x = 1,042,066 × 1,042,066
  4. Step 4: Simplify right side
    713,696x = 1,085,901,548,356
  5. Step 5: Solve for x
    x = 1,085,901,548,356/713,696
  6. Step 6: Final answer
    x = 1,521,518.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.