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Finding the Third Proportional to 713,222 and 1,681,971

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Solution

The third proportional to 713,222 and 1,681,971 is: 3,966,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,222 : 1,681,971 = 1,681,971 : x
  2. Step 2: Convert to fraction form
    713,222/1,681,971 = 1,681,971/x
  3. Step 3: Cross multiply
    713,222x = 1,681,971 × 1,681,971
  4. Step 4: Simplify right side
    713,222x = 2,829,026,444,841
  5. Step 5: Solve for x
    x = 2,829,026,444,841/713,222
  6. Step 6: Final answer
    x = 3,966,544.00

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.