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Finding the Third Proportional to 893,696 and 1,849,600

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Solution

The third proportional to 893,696 and 1,849,600 is: 3,827,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,696 : 1,849,600 = 1,849,600 : x
  2. Step 2: Convert to fraction form
    893,696/1,849,600 = 1,849,600/x
  3. Step 3: Cross multiply
    893,696x = 1,849,600 × 1,849,600
  4. Step 4: Simplify right side
    893,696x = 3,421,020,160,000
  5. Step 5: Solve for x
    x = 3,421,020,160,000/893,696
  6. Step 6: Final answer
    x = 3,827,946.15

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.