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Finding the Third Proportional to 611,955 and 1,011,335.63

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Solution

The third proportional to 611,955 and 1,011,335.63 is: 1,671,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,955 : 1,011,335.63 = 1,011,335.63 : x
  2. Step 2: Convert to fraction form
    611,955/1,011,335.63 = 1,011,335.63/x
  3. Step 3: Cross multiply
    611,955x = 1,011,335.63 × 1,011,335.63
  4. Step 4: Simplify right side
    611,955x = 1,022,799,746,394.14
  5. Step 5: Solve for x
    x = 1,022,799,746,394.14/611,955
  6. Step 6: Final answer
    x = 1,671,364.31

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.