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Finding the Third Proportional to 830,607 and 1,301,274

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Solution

The third proportional to 830,607 and 1,301,274 is: 2,038,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,607 : 1,301,274 = 1,301,274 : x
  2. Step 2: Convert to fraction form
    830,607/1,301,274 = 1,301,274/x
  3. Step 3: Cross multiply
    830,607x = 1,301,274 × 1,301,274
  4. Step 4: Simplify right side
    830,607x = 1,693,314,023,076
  5. Step 5: Solve for x
    x = 1,693,314,023,076/830,607
  6. Step 6: Final answer
    x = 2,038,646.46

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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.