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Finding the Third Proportional to 407,513 and 895,702

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Solution

The third proportional to 407,513 and 895,702 is: 1,968,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,513 : 895,702 = 895,702 : x
  2. Step 2: Convert to fraction form
    407,513/895,702 = 895,702/x
  3. Step 3: Cross multiply
    407,513x = 895,702 × 895,702
  4. Step 4: Simplify right side
    407,513x = 802,282,072,804
  5. Step 5: Solve for x
    x = 802,282,072,804/407,513
  6. Step 6: Final answer
    x = 1,968,727.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.