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Finding the Third Proportional to 797,968 and 1,706,528

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Solution

The third proportional to 797,968 and 1,706,528 is: 3,649,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,968 : 1,706,528 = 1,706,528 : x
  2. Step 2: Convert to fraction form
    797,968/1,706,528 = 1,706,528/x
  3. Step 3: Cross multiply
    797,968x = 1,706,528 × 1,706,528
  4. Step 4: Simplify right side
    797,968x = 2,912,237,814,784
  5. Step 5: Solve for x
    x = 2,912,237,814,784/797,968
  6. Step 6: Final answer
    x = 3,649,567.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.