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Finding the Third Proportional to 2,389,596 and 3,785,646

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Solution

The third proportional to 2,389,596 and 3,785,646 is: 5,997,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,596 : 3,785,646 = 3,785,646 : x
  2. Step 2: Convert to fraction form
    2,389,596/3,785,646 = 3,785,646/x
  3. Step 3: Cross multiply
    2,389,596x = 3,785,646 × 3,785,646
  4. Step 4: Simplify right side
    2,389,596x = 14,331,115,637,316
  5. Step 5: Solve for x
    x = 14,331,115,637,316/2,389,596
  6. Step 6: Final answer
    x = 5,997,296.46

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.