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Finding the Third Proportional to 967,418 and 1,525,323

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Solution

The third proportional to 967,418 and 1,525,323 is: 2,404,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,418 : 1,525,323 = 1,525,323 : x
  2. Step 2: Convert to fraction form
    967,418/1,525,323 = 1,525,323/x
  3. Step 3: Cross multiply
    967,418x = 1,525,323 × 1,525,323
  4. Step 4: Simplify right side
    967,418x = 2,326,610,254,329
  5. Step 5: Solve for x
    x = 2,326,610,254,329/967,418
  6. Step 6: Final answer
    x = 2,404,968.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.