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Finding the Third Proportional to 803,330,421 and 1,241,349,201

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Solution

The third proportional to 803,330,421 and 1,241,349,201 is: 1,918,199,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,330,421 : 1,241,349,201 = 1,241,349,201 : x
  2. Step 2: Convert to fraction form
    803,330,421/1,241,349,201 = 1,241,349,201/x
  3. Step 3: Cross multiply
    803,330,421x = 1,241,349,201 × 1,241,349,201
  4. Step 4: Simplify right side
    803,330,421x = 1,540,947,838,823,338,496
  5. Step 5: Solve for x
    x = 1,540,947,838,823,338,496/803,330,421
  6. Step 6: Final answer
    x = 1,918,199,284.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.