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Finding the Third Proportional to 736,788 and 1,141,146

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Solution

The third proportional to 736,788 and 1,141,146 is: 1,767,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,788 : 1,141,146 = 1,141,146 : x
  2. Step 2: Convert to fraction form
    736,788/1,141,146 = 1,141,146/x
  3. Step 3: Cross multiply
    736,788x = 1,141,146 × 1,141,146
  4. Step 4: Simplify right side
    736,788x = 1,302,214,193,316
  5. Step 5: Solve for x
    x = 1,302,214,193,316/736,788
  6. Step 6: Final answer
    x = 1,767,420.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.