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Finding the Third Proportional to 1,028,259,172 and 1,566,481,722

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Solution

The third proportional to 1,028,259,172 and 1,566,481,722 is: 2,386,426,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,259,172 : 1,566,481,722 = 1,566,481,722 : x
  2. Step 2: Convert to fraction form
    1,028,259,172/1,566,481,722 = 1,566,481,722/x
  3. Step 3: Cross multiply
    1,028,259,172x = 1,566,481,722 × 1,566,481,722
  4. Step 4: Simplify right side
    1,028,259,172x = 2,453,864,985,360,085,504
  5. Step 5: Solve for x
    x = 2,453,864,985,360,085,504/1,028,259,172
  6. Step 6: Final answer
    x = 2,386,426,547.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.