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Finding the Third Proportional to 813,196,752 and 1,256,523,804

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Solution

The third proportional to 813,196,752 and 1,256,523,804 is: 1,941,537,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,196,752 : 1,256,523,804 = 1,256,523,804 : x
  2. Step 2: Convert to fraction form
    813,196,752/1,256,523,804 = 1,256,523,804/x
  3. Step 3: Cross multiply
    813,196,752x = 1,256,523,804 × 1,256,523,804
  4. Step 4: Simplify right side
    813,196,752x = 1,578,852,070,018,630,400
  5. Step 5: Solve for x
    x = 1,578,852,070,018,630,400/813,196,752
  6. Step 6: Final answer
    x = 1,941,537,599.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.