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Finding the Third Proportional to 749,835 and 1,617,768

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Solution

The third proportional to 749,835 and 1,617,768 is: 3,490,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,835 : 1,617,768 = 1,617,768 : x
  2. Step 2: Convert to fraction form
    749,835/1,617,768 = 1,617,768/x
  3. Step 3: Cross multiply
    749,835x = 1,617,768 × 1,617,768
  4. Step 4: Simplify right side
    749,835x = 2,617,173,301,824
  5. Step 5: Solve for x
    x = 2,617,173,301,824/749,835
  6. Step 6: Final answer
    x = 3,490,332.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.