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Finding the Third Proportional to 785,054 and 1,208,361

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Solution

The third proportional to 785,054 and 1,208,361 is: 1,859,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,054 : 1,208,361 = 1,208,361 : x
  2. Step 2: Convert to fraction form
    785,054/1,208,361 = 1,208,361/x
  3. Step 3: Cross multiply
    785,054x = 1,208,361 × 1,208,361
  4. Step 4: Simplify right side
    785,054x = 1,460,136,306,321
  5. Step 5: Solve for x
    x = 1,460,136,306,321/785,054
  6. Step 6: Final answer
    x = 1,859,918.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.