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Finding the Third Proportional to 1,026,001,784 and 2,152,780,528

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Solution

The third proportional to 1,026,001,784 and 2,152,780,528 is: 4,517,013,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,001,784 : 2,152,780,528 = 2,152,780,528 : x
  2. Step 2: Convert to fraction form
    1,026,001,784/2,152,780,528 = 2,152,780,528/x
  3. Step 3: Cross multiply
    1,026,001,784x = 2,152,780,528 × 2,152,780,528
  4. Step 4: Simplify right side
    1,026,001,784x = 4,634,464,001,735,958,528
  5. Step 5: Solve for x
    x = 4,634,464,001,735,958,528/1,026,001,784
  6. Step 6: Final answer
    x = 4,517,013,590.04

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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.