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Finding the Third Proportional to 592,070 and 1,246,024

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Solution

The third proportional to 592,070 and 1,246,024 is: 2,622,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,070 : 1,246,024 = 1,246,024 : x
  2. Step 2: Convert to fraction form
    592,070/1,246,024 = 1,246,024/x
  3. Step 3: Cross multiply
    592,070x = 1,246,024 × 1,246,024
  4. Step 4: Simplify right side
    592,070x = 1,552,575,808,576
  5. Step 5: Solve for x
    x = 1,552,575,808,576/592,070
  6. Step 6: Final answer
    x = 2,622,284.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.