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Finding the Third Proportional to 734,876,699 and 1,088,539,393

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Solution

The third proportional to 734,876,699 and 1,088,539,393 is: 1,612,403,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,876,699 : 1,088,539,393 = 1,088,539,393 : x
  2. Step 2: Convert to fraction form
    734,876,699/1,088,539,393 = 1,088,539,393/x
  3. Step 3: Cross multiply
    734,876,699x = 1,088,539,393 × 1,088,539,393
  4. Step 4: Simplify right side
    734,876,699x = 1,184,918,010,112,808,448
  5. Step 5: Solve for x
    x = 1,184,918,010,112,808,448/734,876,699
  6. Step 6: Final answer
    x = 1,612,403,838.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.