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Finding the Third Proportional to 762,246 and 1,045,206

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Solution

The third proportional to 762,246 and 1,045,206 is: 1,433,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,246 : 1,045,206 = 1,045,206 : x
  2. Step 2: Convert to fraction form
    762,246/1,045,206 = 1,045,206/x
  3. Step 3: Cross multiply
    762,246x = 1,045,206 × 1,045,206
  4. Step 4: Simplify right side
    762,246x = 1,092,455,582,436
  5. Step 5: Solve for x
    x = 1,092,455,582,436/762,246
  6. Step 6: Final answer
    x = 1,433,206.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.