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Finding the Third Proportional to 728,049 and 1,596,066

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Solution

The third proportional to 728,049 and 1,596,066 is: 3,498,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,049 : 1,596,066 = 1,596,066 : x
  2. Step 2: Convert to fraction form
    728,049/1,596,066 = 1,596,066/x
  3. Step 3: Cross multiply
    728,049x = 1,596,066 × 1,596,066
  4. Step 4: Simplify right side
    728,049x = 2,547,426,676,356
  5. Step 5: Solve for x
    x = 2,547,426,676,356/728,049
  6. Step 6: Final answer
    x = 3,498,976.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.