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Finding the Third Proportional to 786,402 and 1,684,854

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Solution

The third proportional to 786,402 and 1,684,854 is: 3,609,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,402 : 1,684,854 = 1,684,854 : x
  2. Step 2: Convert to fraction form
    786,402/1,684,854 = 1,684,854/x
  3. Step 3: Cross multiply
    786,402x = 1,684,854 × 1,684,854
  4. Step 4: Simplify right side
    786,402x = 2,838,733,001,316
  5. Step 5: Solve for x
    x = 2,838,733,001,316/786,402
  6. Step 6: Final answer
    x = 3,609,773.37

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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.