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Finding the Third Proportional to 772,006 and 1,701,070

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Solution

The third proportional to 772,006 and 1,701,070 is: 3,748,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,006 : 1,701,070 = 1,701,070 : x
  2. Step 2: Convert to fraction form
    772,006/1,701,070 = 1,701,070/x
  3. Step 3: Cross multiply
    772,006x = 1,701,070 × 1,701,070
  4. Step 4: Simplify right side
    772,006x = 2,893,639,144,900
  5. Step 5: Solve for x
    x = 2,893,639,144,900/772,006
  6. Step 6: Final answer
    x = 3,748,208.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.