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Finding the Third Proportional to 464,643 and 954,298.13

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Solution

The third proportional to 464,643 and 954,298.13 is: 1,959,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,643 : 954,298.13 = 954,298.13 : x
  2. Step 2: Convert to fraction form
    464,643/954,298.13 = 954,298.13/x
  3. Step 3: Cross multiply
    464,643x = 954,298.13 × 954,298.13
  4. Step 4: Simplify right side
    464,643x = 910,684,911,378.52
  5. Step 5: Solve for x
    x = 910,684,911,378.52/464,643
  6. Step 6: Final answer
    x = 1,959,966.92

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.