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Finding the Third Proportional to 645,064 and 1,017,068

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Solution

The third proportional to 645,064 and 1,017,068 is: 1,603,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,064 : 1,017,068 = 1,017,068 : x
  2. Step 2: Convert to fraction form
    645,064/1,017,068 = 1,017,068/x
  3. Step 3: Cross multiply
    645,064x = 1,017,068 × 1,017,068
  4. Step 4: Simplify right side
    645,064x = 1,034,427,316,624
  5. Step 5: Solve for x
    x = 1,034,427,316,624/645,064
  6. Step 6: Final answer
    x = 1,603,604.16

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.