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Finding the Third Proportional to 835,140 and 1,291,090

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Solution

The third proportional to 835,140 and 1,291,090 is: 1,995,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,140 : 1,291,090 = 1,291,090 : x
  2. Step 2: Convert to fraction form
    835,140/1,291,090 = 1,291,090/x
  3. Step 3: Cross multiply
    835,140x = 1,291,090 × 1,291,090
  4. Step 4: Simplify right side
    835,140x = 1,666,913,388,100
  5. Step 5: Solve for x
    x = 1,666,913,388,100/835,140
  6. Step 6: Final answer
    x = 1,995,968.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.