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Finding the Third Proportional to 616,140 and 1,333,368

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Solution

The third proportional to 616,140 and 1,333,368 is: 2,885,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,140 : 1,333,368 = 1,333,368 : x
  2. Step 2: Convert to fraction form
    616,140/1,333,368 = 1,333,368/x
  3. Step 3: Cross multiply
    616,140x = 1,333,368 × 1,333,368
  4. Step 4: Simplify right side
    616,140x = 1,777,870,223,424
  5. Step 5: Solve for x
    x = 1,777,870,223,424/616,140
  6. Step 6: Final answer
    x = 2,885,497.17

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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.