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Finding the Third Proportional to 607,090 and 919,710

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Solution

The third proportional to 607,090 and 919,710 is: 1,393,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,090 : 919,710 = 919,710 : x
  2. Step 2: Convert to fraction form
    607,090/919,710 = 919,710/x
  3. Step 3: Cross multiply
    607,090x = 919,710 × 919,710
  4. Step 4: Simplify right side
    607,090x = 845,866,484,100
  5. Step 5: Solve for x
    x = 845,866,484,100/607,090
  6. Step 6: Final answer
    x = 1,393,313.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.