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Finding the Third Proportional to 748,284 and 1,696,316

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Solution

The third proportional to 748,284 and 1,696,316 is: 3,845,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,284 : 1,696,316 = 1,696,316 : x
  2. Step 2: Convert to fraction form
    748,284/1,696,316 = 1,696,316/x
  3. Step 3: Cross multiply
    748,284x = 1,696,316 × 1,696,316
  4. Step 4: Simplify right side
    748,284x = 2,877,487,971,856
  5. Step 5: Solve for x
    x = 2,877,487,971,856/748,284
  6. Step 6: Final answer
    x = 3,845,449.02

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.