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Finding the Third Proportional to 692,316 and 1,495,350

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Solution

The third proportional to 692,316 and 1,495,350 is: 3,229,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,316 : 1,495,350 = 1,495,350 : x
  2. Step 2: Convert to fraction form
    692,316/1,495,350 = 1,495,350/x
  3. Step 3: Cross multiply
    692,316x = 1,495,350 × 1,495,350
  4. Step 4: Simplify right side
    692,316x = 2,236,071,622,500
  5. Step 5: Solve for x
    x = 2,236,071,622,500/692,316
  6. Step 6: Final answer
    x = 3,229,842.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.