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Finding the Third Proportional to 802,642 and 1,070,007

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Solution

The third proportional to 802,642 and 1,070,007 is: 1,426,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,642 : 1,070,007 = 1,070,007 : x
  2. Step 2: Convert to fraction form
    802,642/1,070,007 = 1,070,007/x
  3. Step 3: Cross multiply
    802,642x = 1,070,007 × 1,070,007
  4. Step 4: Simplify right side
    802,642x = 1,144,914,980,049
  5. Step 5: Solve for x
    x = 1,144,914,980,049/802,642
  6. Step 6: Final answer
    x = 1,426,432.93

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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.