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Finding the Third Proportional to 1,086,345 and 1,596,222

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Solution

The third proportional to 1,086,345 and 1,596,222 is: 2,345,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,345 : 1,596,222 = 1,596,222 : x
  2. Step 2: Convert to fraction form
    1,086,345/1,596,222 = 1,596,222/x
  3. Step 3: Cross multiply
    1,086,345x = 1,596,222 × 1,596,222
  4. Step 4: Simplify right side
    1,086,345x = 2,547,924,673,284
  5. Step 5: Solve for x
    x = 2,547,924,673,284/1,086,345
  6. Step 6: Final answer
    x = 2,345,410.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.