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Finding the Third Proportional to 1,663,730 and 3,406,270

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Solution

The third proportional to 1,663,730 and 3,406,270 is: 6,973,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,730 : 3,406,270 = 3,406,270 : x
  2. Step 2: Convert to fraction form
    1,663,730/3,406,270 = 3,406,270/x
  3. Step 3: Cross multiply
    1,663,730x = 3,406,270 × 3,406,270
  4. Step 4: Simplify right side
    1,663,730x = 11,602,675,312,900
  5. Step 5: Solve for x
    x = 11,602,675,312,900/1,663,730
  6. Step 6: Final answer
    x = 6,973,893.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.