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Finding the Third Proportional to 457,158,822 and 1,001,656,652

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Solution

The third proportional to 457,158,822 and 1,001,656,652 is: 2,194,677,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,158,822 : 1,001,656,652 = 1,001,656,652 : x
  2. Step 2: Convert to fraction form
    457,158,822/1,001,656,652 = 1,001,656,652/x
  3. Step 3: Cross multiply
    457,158,822x = 1,001,656,652 × 1,001,656,652
  4. Step 4: Simplify right side
    457,158,822x = 1,003,316,048,495,849,088
  5. Step 5: Solve for x
    x = 1,003,316,048,495,849,088/457,158,822
  6. Step 6: Final answer
    x = 2,194,677,211.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.