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Finding the Third Proportional to 513,000,887 and 1,076,390,254

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Solution

The third proportional to 513,000,887 and 1,076,390,254 is: 2,258,506,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000,887 : 1,076,390,254 = 1,076,390,254 : x
  2. Step 2: Convert to fraction form
    513,000,887/1,076,390,254 = 1,076,390,254/x
  3. Step 3: Cross multiply
    513,000,887x = 1,076,390,254 × 1,076,390,254
  4. Step 4: Simplify right side
    513,000,887x = 1,158,615,978,906,184,448
  5. Step 5: Solve for x
    x = 1,158,615,978,906,184,448/513,000,887
  6. Step 6: Final answer
    x = 2,258,506,775.07

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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.