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Finding the Third Proportional to 645,300 and 1,002,465

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Solution

The third proportional to 645,300 and 1,002,465 is: 1,557,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,300 : 1,002,465 = 1,002,465 : x
  2. Step 2: Convert to fraction form
    645,300/1,002,465 = 1,002,465/x
  3. Step 3: Cross multiply
    645,300x = 1,002,465 × 1,002,465
  4. Step 4: Simplify right side
    645,300x = 1,004,936,076,225
  5. Step 5: Solve for x
    x = 1,004,936,076,225/645,300
  6. Step 6: Final answer
    x = 1,557,316.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.