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Finding the Third Proportional to 591,807 and 1,294,355.63

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Solution

The third proportional to 591,807 and 1,294,355.63 is: 2,830,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,807 : 1,294,355.63 = 1,294,355.63 : x
  2. Step 2: Convert to fraction form
    591,807/1,294,355.63 = 1,294,355.63/x
  3. Step 3: Cross multiply
    591,807x = 1,294,355.63 × 1,294,355.63
  4. Step 4: Simplify right side
    591,807x = 1,675,356,483,969.14
  5. Step 5: Solve for x
    x = 1,675,356,483,969.14/591,807
  6. Step 6: Final answer
    x = 2,830,916.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.