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Finding the Third Proportional to 653,364 and 1,406,841

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Solution

The third proportional to 653,364 and 1,406,841 is: 3,029,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,364 : 1,406,841 = 1,406,841 : x
  2. Step 2: Convert to fraction form
    653,364/1,406,841 = 1,406,841/x
  3. Step 3: Cross multiply
    653,364x = 1,406,841 × 1,406,841
  4. Step 4: Simplify right side
    653,364x = 1,979,201,599,281
  5. Step 5: Solve for x
    x = 1,979,201,599,281/653,364
  6. Step 6: Final answer
    x = 3,029,248.01

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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.