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Finding the Third Proportional to 588,781,056 and 1,284,506,346

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Solution

The third proportional to 588,781,056 and 1,284,506,346 is: 2,802,326,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,781,056 : 1,284,506,346 = 1,284,506,346 : x
  2. Step 2: Convert to fraction form
    588,781,056/1,284,506,346 = 1,284,506,346/x
  3. Step 3: Cross multiply
    588,781,056x = 1,284,506,346 × 1,284,506,346
  4. Step 4: Simplify right side
    588,781,056x = 1,649,956,552,914,271,744
  5. Step 5: Solve for x
    x = 1,649,956,552,914,271,744/588,781,056
  6. Step 6: Final answer
    x = 2,802,326,155.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.