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Finding the Third Proportional to 407,516 and 895,706

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Solution

The third proportional to 407,516 and 895,706 is: 1,968,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,516 : 895,706 = 895,706 : x
  2. Step 2: Convert to fraction form
    407,516/895,706 = 895,706/x
  3. Step 3: Cross multiply
    407,516x = 895,706 × 895,706
  4. Step 4: Simplify right side
    407,516x = 802,289,238,436
  5. Step 5: Solve for x
    x = 802,289,238,436/407,516
  6. Step 6: Final answer
    x = 1,968,730.65

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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.