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Finding the Third Proportional to 524,064,700 and 1,121,748,032

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Solution

The third proportional to 524,064,700 and 1,121,748,032 is: 2,401,074,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,064,700 : 1,121,748,032 = 1,121,748,032 : x
  2. Step 2: Convert to fraction form
    524,064,700/1,121,748,032 = 1,121,748,032/x
  3. Step 3: Cross multiply
    524,064,700x = 1,121,748,032 × 1,121,748,032
  4. Step 4: Simplify right side
    524,064,700x = 1,258,318,647,295,873,024
  5. Step 5: Solve for x
    x = 1,258,318,647,295,873,024/524,064,700
  6. Step 6: Final answer
    x = 2,401,074,995.69

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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.