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Finding the Third Proportional to 612,810 and 945,054

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Solution

The third proportional to 612,810 and 945,054 is: 1,457,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,810 : 945,054 = 945,054 : x
  2. Step 2: Convert to fraction form
    612,810/945,054 = 945,054/x
  3. Step 3: Cross multiply
    612,810x = 945,054 × 945,054
  4. Step 4: Simplify right side
    612,810x = 893,127,062,916
  5. Step 5: Solve for x
    x = 893,127,062,916/612,810
  6. Step 6: Final answer
    x = 1,457,429.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.