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Finding the Third Proportional to 832,708,290 and 1,828,839,585

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Solution

The third proportional to 832,708,290 and 1,828,839,585 is: 4,016,597,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,708,290 : 1,828,839,585 = 1,828,839,585 : x
  2. Step 2: Convert to fraction form
    832,708,290/1,828,839,585 = 1,828,839,585/x
  3. Step 3: Cross multiply
    832,708,290x = 1,828,839,585 × 1,828,839,585
  4. Step 4: Simplify right side
    832,708,290x = 3,344,654,227,662,972,416
  5. Step 5: Solve for x
    x = 3,344,654,227,662,972,416/832,708,290
  6. Step 6: Final answer
    x = 4,016,597,730.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.