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Finding the Third Proportional to 838,400.63 and 1,122,427.13

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Solution

The third proportional to 838,400.63 and 1,122,427.13 is: 1,502,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,400.63 : 1,122,427.13 = 1,122,427.13 : x
  2. Step 2: Convert to fraction form
    838,400.63/1,122,427.13 = 1,122,427.13/x
  3. Step 3: Cross multiply
    838,400.63x = 1,122,427.13 × 1,122,427.13
  4. Step 4: Simplify right side
    838,400.63x = 1,259,842,650,935.77
  5. Step 5: Solve for x
    x = 1,259,842,650,935.77/838,400.63
  6. Step 6: Final answer
    x = 1,502,673.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.