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Finding the Third Proportional to 450,690 and 975,748

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Solution

The third proportional to 450,690 and 975,748 is: 2,112,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,690 : 975,748 = 975,748 : x
  2. Step 2: Convert to fraction form
    450,690/975,748 = 975,748/x
  3. Step 3: Cross multiply
    450,690x = 975,748 × 975,748
  4. Step 4: Simplify right side
    450,690x = 952,084,159,504
  5. Step 5: Solve for x
    x = 952,084,159,504/450,690
  6. Step 6: Final answer
    x = 2,112,503.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.