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Finding the Third Proportional to 1,534,824 and 2,402,424

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Solution

The third proportional to 1,534,824 and 2,402,424 is: 3,760,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,824 : 2,402,424 = 2,402,424 : x
  2. Step 2: Convert to fraction form
    1,534,824/2,402,424 = 2,402,424/x
  3. Step 3: Cross multiply
    1,534,824x = 2,402,424 × 2,402,424
  4. Step 4: Simplify right side
    1,534,824x = 5,771,641,075,776
  5. Step 5: Solve for x
    x = 5,771,641,075,776/1,534,824
  6. Step 6: Final answer
    x = 3,760,457.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.