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Finding the Third Proportional to 513,000,891 and 1,076,390,262

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Solution

The third proportional to 513,000,891 and 1,076,390,262 is: 2,258,506,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000,891 : 1,076,390,262 = 1,076,390,262 : x
  2. Step 2: Convert to fraction form
    513,000,891/1,076,390,262 = 1,076,390,262/x
  3. Step 3: Cross multiply
    513,000,891x = 1,076,390,262 × 1,076,390,262
  4. Step 4: Simplify right side
    513,000,891x = 1,158,615,996,128,428,544
  5. Step 5: Solve for x
    x = 1,158,615,996,128,428,544/513,000,891
  6. Step 6: Final answer
    x = 2,258,506,791.03

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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.