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Finding the Third Proportional to 473,134,495 and 1,035,461,776

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Solution

The third proportional to 473,134,495 and 1,035,461,776 is: 2,266,123,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,134,495 : 1,035,461,776 = 1,035,461,776 : x
  2. Step 2: Convert to fraction form
    473,134,495/1,035,461,776 = 1,035,461,776/x
  3. Step 3: Cross multiply
    473,134,495x = 1,035,461,776 × 1,035,461,776
  4. Step 4: Simplify right side
    473,134,495x = 1,072,181,089,557,074,176
  5. Step 5: Solve for x
    x = 1,072,181,089,557,074,176/473,134,495
  6. Step 6: Final answer
    x = 2,266,123,271.26

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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.