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Finding the Third Proportional to 657,080 and 1,412,316

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Solution

The third proportional to 657,080 and 1,412,316 is: 3,035,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,080 : 1,412,316 = 1,412,316 : x
  2. Step 2: Convert to fraction form
    657,080/1,412,316 = 1,412,316/x
  3. Step 3: Cross multiply
    657,080x = 1,412,316 × 1,412,316
  4. Step 4: Simplify right side
    657,080x = 1,994,636,483,856
  5. Step 5: Solve for x
    x = 1,994,636,483,856/657,080
  6. Step 6: Final answer
    x = 3,035,606.75

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Why These Related Problems?

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