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Finding the Third Proportional to 531,712 and 1,146,907

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Solution

The third proportional to 531,712 and 1,146,907 is: 2,473,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,712 : 1,146,907 = 1,146,907 : x
  2. Step 2: Convert to fraction form
    531,712/1,146,907 = 1,146,907/x
  3. Step 3: Cross multiply
    531,712x = 1,146,907 × 1,146,907
  4. Step 4: Simplify right side
    531,712x = 1,315,395,666,649
  5. Step 5: Solve for x
    x = 1,315,395,666,649/531,712
  6. Step 6: Final answer
    x = 2,473,887.49

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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.