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Finding the Third Proportional to 974,628 and 1,461,943

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Solution

The third proportional to 974,628 and 1,461,943 is: 2,192,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,628 : 1,461,943 = 1,461,943 : x
  2. Step 2: Convert to fraction form
    974,628/1,461,943 = 1,461,943/x
  3. Step 3: Cross multiply
    974,628x = 1,461,943 × 1,461,943
  4. Step 4: Simplify right side
    974,628x = 2,137,277,335,249
  5. Step 5: Solve for x
    x = 2,137,277,335,249/974,628
  6. Step 6: Final answer
    x = 2,192,916.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.