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Finding the Third Proportional to 702,963 and 1,455,770

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Solution

The third proportional to 702,963 and 1,455,770 is: 3,014,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,963 : 1,455,770 = 1,455,770 : x
  2. Step 2: Convert to fraction form
    702,963/1,455,770 = 1,455,770/x
  3. Step 3: Cross multiply
    702,963x = 1,455,770 × 1,455,770
  4. Step 4: Simplify right side
    702,963x = 2,119,266,292,900
  5. Step 5: Solve for x
    x = 2,119,266,292,900/702,963
  6. Step 6: Final answer
    x = 3,014,762.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.