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Finding the Third Proportional to 610,496 and 933,888

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Solution

The third proportional to 610,496 and 933,888 is: 1,428,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,496 : 933,888 = 933,888 : x
  2. Step 2: Convert to fraction form
    610,496/933,888 = 933,888/x
  3. Step 3: Cross multiply
    610,496x = 933,888 × 933,888
  4. Step 4: Simplify right side
    610,496x = 872,146,796,544
  5. Step 5: Solve for x
    x = 872,146,796,544/610,496
  6. Step 6: Final answer
    x = 1,428,587.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.