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Finding the Third Proportional to 435,464 and 933,136

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Solution

The third proportional to 435,464 and 933,136 is: 1,999,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,464 : 933,136 = 933,136 : x
  2. Step 2: Convert to fraction form
    435,464/933,136 = 933,136/x
  3. Step 3: Cross multiply
    435,464x = 933,136 × 933,136
  4. Step 4: Simplify right side
    435,464x = 870,742,794,496
  5. Step 5: Solve for x
    x = 870,742,794,496/435,464
  6. Step 6: Final answer
    x = 1,999,574.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.