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Finding the Third Proportional to 1,588,740 and 2,397,943

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Solution

The third proportional to 1,588,740 and 2,397,943 is: 3,619,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,740 : 2,397,943 = 2,397,943 : x
  2. Step 2: Convert to fraction form
    1,588,740/2,397,943 = 2,397,943/x
  3. Step 3: Cross multiply
    1,588,740x = 2,397,943 × 2,397,943
  4. Step 4: Simplify right side
    1,588,740x = 5,750,130,631,249
  5. Step 5: Solve for x
    x = 5,750,130,631,249/1,588,740
  6. Step 6: Final answer
    x = 3,619,302.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.