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Finding the Third Proportional to 761,748 and 1,157,577

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Solution

The third proportional to 761,748 and 1,157,577 is: 1,759,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,748 : 1,157,577 = 1,157,577 : x
  2. Step 2: Convert to fraction form
    761,748/1,157,577 = 1,157,577/x
  3. Step 3: Cross multiply
    761,748x = 1,157,577 × 1,157,577
  4. Step 4: Simplify right side
    761,748x = 1,339,984,510,929
  5. Step 5: Solve for x
    x = 1,339,984,510,929/761,748
  6. Step 6: Final answer
    x = 1,759,091.60

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