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Finding the Third Proportional to 531,702 and 1,146,888

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Solution

The third proportional to 531,702 and 1,146,888 is: 2,473,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,702 : 1,146,888 = 1,146,888 : x
  2. Step 2: Convert to fraction form
    531,702/1,146,888 = 1,146,888/x
  3. Step 3: Cross multiply
    531,702x = 1,146,888 × 1,146,888
  4. Step 4: Simplify right side
    531,702x = 1,315,352,084,544
  5. Step 5: Solve for x
    x = 1,315,352,084,544/531,702
  6. Step 6: Final answer
    x = 2,473,852.05

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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.