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Finding the Third Proportional to 513,000,885 and 1,076,390,250

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Solution

The third proportional to 513,000,885 and 1,076,390,250 is: 2,258,506,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000,885 : 1,076,390,250 = 1,076,390,250 : x
  2. Step 2: Convert to fraction form
    513,000,885/1,076,390,250 = 1,076,390,250/x
  3. Step 3: Cross multiply
    513,000,885x = 1,076,390,250 × 1,076,390,250
  4. Step 4: Simplify right side
    513,000,885x = 1,158,615,970,295,062,528
  5. Step 5: Solve for x
    x = 1,158,615,970,295,062,528/513,000,885
  6. Step 6: Final answer
    x = 2,258,506,767.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.