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Finding the Third Proportional to 830,436 and 1,301,010

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Solution

The third proportional to 830,436 and 1,301,010 is: 2,038,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,436 : 1,301,010 = 1,301,010 : x
  2. Step 2: Convert to fraction form
    830,436/1,301,010 = 1,301,010/x
  3. Step 3: Cross multiply
    830,436x = 1,301,010 × 1,301,010
  4. Step 4: Simplify right side
    830,436x = 1,692,627,020,100
  5. Step 5: Solve for x
    x = 1,692,627,020,100/830,436
  6. Step 6: Final answer
    x = 2,038,238.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.