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Finding the Third Proportional to 624,232 and 1,346,784

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Solution

The third proportional to 624,232 and 1,346,784 is: 2,905,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,232 : 1,346,784 = 1,346,784 : x
  2. Step 2: Convert to fraction form
    624,232/1,346,784 = 1,346,784/x
  3. Step 3: Cross multiply
    624,232x = 1,346,784 × 1,346,784
  4. Step 4: Simplify right side
    624,232x = 1,813,827,142,656
  5. Step 5: Solve for x
    x = 1,813,827,142,656/624,232
  6. Step 6: Final answer
    x = 2,905,693.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.