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Finding the Third Proportional to 786,008 and 1,697,526

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Solution

The third proportional to 786,008 and 1,697,526 is: 3,666,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,008 : 1,697,526 = 1,697,526 : x
  2. Step 2: Convert to fraction form
    786,008/1,697,526 = 1,697,526/x
  3. Step 3: Cross multiply
    786,008x = 1,697,526 × 1,697,526
  4. Step 4: Simplify right side
    786,008x = 2,881,594,520,676
  5. Step 5: Solve for x
    x = 2,881,594,520,676/786,008
  6. Step 6: Final answer
    x = 3,666,113.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.