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Finding the Third Proportional to 666,968 and 1,460,428

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Solution

The third proportional to 666,968 and 1,460,428 is: 3,197,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,968 : 1,460,428 = 1,460,428 : x
  2. Step 2: Convert to fraction form
    666,968/1,460,428 = 1,460,428/x
  3. Step 3: Cross multiply
    666,968x = 1,460,428 × 1,460,428
  4. Step 4: Simplify right side
    666,968x = 2,132,849,943,184
  5. Step 5: Solve for x
    x = 2,132,849,943,184/666,968
  6. Step 6: Final answer
    x = 3,197,829.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.