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Finding the Third Proportional to 685,382,547 and 1,044,143,889

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Solution

The third proportional to 685,382,547 and 1,044,143,889 is: 1,590,697,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,382,547 : 1,044,143,889 = 1,044,143,889 : x
  2. Step 2: Convert to fraction form
    685,382,547/1,044,143,889 = 1,044,143,889/x
  3. Step 3: Cross multiply
    685,382,547x = 1,044,143,889 × 1,044,143,889
  4. Step 4: Simplify right side
    685,382,547x = 1,090,236,460,936,044,288
  5. Step 5: Solve for x
    x = 1,090,236,460,936,044,288/685,382,547
  6. Step 6: Final answer
    x = 1,590,697,728.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.