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Finding the Third Proportional to 649,888,528 and 1,406,780,960

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Solution

The third proportional to 649,888,528 and 1,406,780,960 is: 3,045,187,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,888,528 : 1,406,780,960 = 1,406,780,960 : x
  2. Step 2: Convert to fraction form
    649,888,528/1,406,780,960 = 1,406,780,960/x
  3. Step 3: Cross multiply
    649,888,528x = 1,406,780,960 × 1,406,780,960
  4. Step 4: Simplify right side
    649,888,528x = 1,979,032,669,418,521,600
  5. Step 5: Solve for x
    x = 1,979,032,669,418,521,600/649,888,528
  6. Step 6: Final answer
    x = 3,045,187,880.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.