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Finding the Third Proportional to 1,004,752,092 and 1,357,082,426

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Solution

The third proportional to 1,004,752,092 and 1,357,082,426 is: 1,832,962,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,752,092 : 1,357,082,426 = 1,357,082,426 : x
  2. Step 2: Convert to fraction form
    1,004,752,092/1,357,082,426 = 1,357,082,426/x
  3. Step 3: Cross multiply
    1,004,752,092x = 1,357,082,426 × 1,357,082,426
  4. Step 4: Simplify right side
    1,004,752,092x = 1,841,672,710,958,045,440
  5. Step 5: Solve for x
    x = 1,841,672,710,958,045,440/1,004,752,092
  6. Step 6: Final answer
    x = 1,832,962,305.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.