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Finding the Third Proportional to 427,875 and 916,473

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Solution

The third proportional to 427,875 and 916,473 is: 1,963,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,875 : 916,473 = 916,473 : x
  2. Step 2: Convert to fraction form
    427,875/916,473 = 916,473/x
  3. Step 3: Cross multiply
    427,875x = 916,473 × 916,473
  4. Step 4: Simplify right side
    427,875x = 839,922,759,729
  5. Step 5: Solve for x
    x = 839,922,759,729/427,875
  6. Step 6: Final answer
    x = 1,963,009.66

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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.