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Finding the Third Proportional to 1,497,130 and 2,301,220

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Solution

The third proportional to 1,497,130 and 2,301,220 is: 3,537,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,130 : 2,301,220 = 2,301,220 : x
  2. Step 2: Convert to fraction form
    1,497,130/2,301,220 = 2,301,220/x
  3. Step 3: Cross multiply
    1,497,130x = 2,301,220 × 2,301,220
  4. Step 4: Simplify right side
    1,497,130x = 5,295,613,488,400
  5. Step 5: Solve for x
    x = 5,295,613,488,400/1,497,130
  6. Step 6: Final answer
    x = 3,537,176.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.