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Finding the Third Proportional to 755,946 and 1,089,207

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Solution

The third proportional to 755,946 and 1,089,207 is: 1,569,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,946 : 1,089,207 = 1,089,207 : x
  2. Step 2: Convert to fraction form
    755,946/1,089,207 = 1,089,207/x
  3. Step 3: Cross multiply
    755,946x = 1,089,207 × 1,089,207
  4. Step 4: Simplify right side
    755,946x = 1,186,371,888,849
  5. Step 5: Solve for x
    x = 1,186,371,888,849/755,946
  6. Step 6: Final answer
    x = 1,569,387.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.