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Finding the Third Proportional to 714,773,309 and 1,044,729,164

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Solution

The third proportional to 714,773,309 and 1,044,729,164 is: 1,527,000,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,773,309 : 1,044,729,164 = 1,044,729,164 : x
  2. Step 2: Convert to fraction form
    714,773,309/1,044,729,164 = 1,044,729,164/x
  3. Step 3: Cross multiply
    714,773,309x = 1,044,729,164 × 1,044,729,164
  4. Step 4: Simplify right side
    714,773,309x = 1,091,459,026,112,138,880
  5. Step 5: Solve for x
    x = 1,091,459,026,112,138,880/714,773,309
  6. Step 6: Final answer
    x = 1,527,000,256.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.