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Finding the Third Proportional to 689,645 and 1,076,390

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Solution

The third proportional to 689,645 and 1,076,390 is: 1,680,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,645 : 1,076,390 = 1,076,390 : x
  2. Step 2: Convert to fraction form
    689,645/1,076,390 = 1,076,390/x
  3. Step 3: Cross multiply
    689,645x = 1,076,390 × 1,076,390
  4. Step 4: Simplify right side
    689,645x = 1,158,615,432,100
  5. Step 5: Solve for x
    x = 1,158,615,432,100/689,645
  6. Step 6: Final answer
    x = 1,680,017.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.