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Finding the Third Proportional to 426,798 and 893,053.13

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Solution

The third proportional to 426,798 and 893,053.13 is: 1,868,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,798 : 893,053.13 = 893,053.13 : x
  2. Step 2: Convert to fraction form
    426,798/893,053.13 = 893,053.13/x
  3. Step 3: Cross multiply
    426,798x = 893,053.13 × 893,053.13
  4. Step 4: Simplify right side
    426,798x = 797,543,884,072.27
  5. Step 5: Solve for x
    x = 797,543,884,072.27/426,798
  6. Step 6: Final answer
    x = 1,868,668.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.