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Finding the Third Proportional to 657,971 and 1,434,928

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Solution

The third proportional to 657,971 and 1,434,928 is: 3,129,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,971 : 1,434,928 = 1,434,928 : x
  2. Step 2: Convert to fraction form
    657,971/1,434,928 = 1,434,928/x
  3. Step 3: Cross multiply
    657,971x = 1,434,928 × 1,434,928
  4. Step 4: Simplify right side
    657,971x = 2,059,018,365,184
  5. Step 5: Solve for x
    x = 2,059,018,365,184/657,971
  6. Step 6: Final answer
    x = 3,129,345.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.