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Finding the Third Proportional to 845,646 and 1,159,605

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Solution

The third proportional to 845,646 and 1,159,605 is: 1,590,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,646 : 1,159,605 = 1,159,605 : x
  2. Step 2: Convert to fraction form
    845,646/1,159,605 = 1,159,605/x
  3. Step 3: Cross multiply
    845,646x = 1,159,605 × 1,159,605
  4. Step 4: Simplify right side
    845,646x = 1,344,683,756,025
  5. Step 5: Solve for x
    x = 1,344,683,756,025/845,646
  6. Step 6: Final answer
    x = 1,590,126.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.