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Finding the Third Proportional to 1,497,125 and 2,301,213

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Solution

The third proportional to 1,497,125 and 2,301,213 is: 3,537,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,125 : 2,301,213 = 2,301,213 : x
  2. Step 2: Convert to fraction form
    1,497,125/2,301,213 = 2,301,213/x
  3. Step 3: Cross multiply
    1,497,125x = 2,301,213 × 2,301,213
  4. Step 4: Simplify right side
    1,497,125x = 5,295,581,271,369
  5. Step 5: Solve for x
    x = 5,295,581,271,369/1,497,125
  6. Step 6: Final answer
    x = 3,537,167.08

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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.