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Finding the Third Proportional to 671,216 and 1,036,984

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Solution

The third proportional to 671,216 and 1,036,984 is: 1,602,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,216 : 1,036,984 = 1,036,984 : x
  2. Step 2: Convert to fraction form
    671,216/1,036,984 = 1,036,984/x
  3. Step 3: Cross multiply
    671,216x = 1,036,984 × 1,036,984
  4. Step 4: Simplify right side
    671,216x = 1,075,335,816,256
  5. Step 5: Solve for x
    x = 1,075,335,816,256/671,216
  6. Step 6: Final answer
    x = 1,602,071.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.