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Finding the Third Proportional to 749,112 and 1,095,633

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Solution

The third proportional to 749,112 and 1,095,633 is: 1,602,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,112 : 1,095,633 = 1,095,633 : x
  2. Step 2: Convert to fraction form
    749,112/1,095,633 = 1,095,633/x
  3. Step 3: Cross multiply
    749,112x = 1,095,633 × 1,095,633
  4. Step 4: Simplify right side
    749,112x = 1,200,411,670,689
  5. Step 5: Solve for x
    x = 1,200,411,670,689/749,112
  6. Step 6: Final answer
    x = 1,602,446.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.