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Finding the Third Proportional to 1,696,730 and 3,636,343

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Solution

The third proportional to 1,696,730 and 3,636,343 is: 7,793,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,730 : 3,636,343 = 3,636,343 : x
  2. Step 2: Convert to fraction form
    1,696,730/3,636,343 = 3,636,343/x
  3. Step 3: Cross multiply
    1,696,730x = 3,636,343 × 3,636,343
  4. Step 4: Simplify right side
    1,696,730x = 13,222,990,413,649
  5. Step 5: Solve for x
    x = 13,222,990,413,649/1,696,730
  6. Step 6: Final answer
    x = 7,793,220.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.