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Finding the Third Proportional to 657,148 and 1,412,468

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Solution

The third proportional to 657,148 and 1,412,468 is: 3,035,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,148 : 1,412,468 = 1,412,468 : x
  2. Step 2: Convert to fraction form
    657,148/1,412,468 = 1,412,468/x
  3. Step 3: Cross multiply
    657,148x = 1,412,468 × 1,412,468
  4. Step 4: Simplify right side
    657,148x = 1,995,065,851,024
  5. Step 5: Solve for x
    x = 1,995,065,851,024/657,148
  6. Step 6: Final answer
    x = 3,035,946.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.